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Finding the Fourth Proportional to 3,663.70, 5,487.45 and 1,471.30

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Solution

The fourth proportional to 3,663.70, 5,487.45 and 1,471.30 is: 2,203.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.70 : 5,487.45 = 1,471.30 : x
  2. Step 2: Convert to fraction form
    3,663.70/5,487.45 = 1,471.30/x
  3. Step 3: Cross multiply
    3,663.70x = 5,487.45 × 1,471.30
  4. Step 4: Simplify right side
    3,663.70x = 8,073,685.19
  5. Step 5: Solve for x
    x = 8,073,685.19/3,663.70
  6. Step 6: Final answer
    x = 2,203.70

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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.