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Finding the Fourth Proportional to 3,463.71, 5,192.01 and 1,380.90

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Solution

The fourth proportional to 3,463.71, 5,192.01 and 1,380.90 is: 2,069.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.71 : 5,192.01 = 1,380.90 : x
  2. Step 2: Convert to fraction form
    3,463.71/5,192.01 = 1,380.90/x
  3. Step 3: Cross multiply
    3,463.71x = 5,192.01 × 1,380.90
  4. Step 4: Simplify right side
    3,463.71x = 7,169,646.61
  5. Step 5: Solve for x
    x = 7,169,646.61/3,463.71
  6. Step 6: Final answer
    x = 2,069.93

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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.