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Finding the Fourth Proportional to 5,407.95, 7,463.03 and 3,171.15

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Solution

The fourth proportional to 5,407.95, 7,463.03 and 3,171.15 is: 4,376.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.95 : 7,463.03 = 3,171.15 : x
  2. Step 2: Convert to fraction form
    5,407.95/7,463.03 = 3,171.15/x
  3. Step 3: Cross multiply
    5,407.95x = 7,463.03 × 3,171.15
  4. Step 4: Simplify right side
    5,407.95x = 23,666,387.58
  5. Step 5: Solve for x
    x = 23,666,387.58/5,407.95
  6. Step 6: Final answer
    x = 4,376.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.