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Finding the Fourth Proportional to 3,437.96, 5,156.29 and 972.19

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Solution

The fourth proportional to 3,437.96, 5,156.29 and 972.19 is: 1,458.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.96 : 5,156.29 = 972.19 : x
  2. Step 2: Convert to fraction form
    3,437.96/5,156.29 = 972.19/x
  3. Step 3: Cross multiply
    3,437.96x = 5,156.29 × 972.19
  4. Step 4: Simplify right side
    3,437.96x = 5,012,862.93
  5. Step 5: Solve for x
    x = 5,012,862.93/3,437.96
  6. Step 6: Final answer
    x = 1,458.09

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.