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Finding the Fourth Proportional to 3,437.38, 5,156.52 and 972.14

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Solution

The fourth proportional to 3,437.38, 5,156.52 and 972.14 is: 1,458.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.38 : 5,156.52 = 972.14 : x
  2. Step 2: Convert to fraction form
    3,437.38/5,156.52 = 972.14/x
  3. Step 3: Cross multiply
    3,437.38x = 5,156.52 × 972.14
  4. Step 4: Simplify right side
    3,437.38x = 5,012,872.24
  5. Step 5: Solve for x
    x = 5,012,872.24/3,437.38
  6. Step 6: Final answer
    x = 1,458.34

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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.