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Finding the Fourth Proportional to 3,762.47, 5,641.31 and 2,006.39

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Solution

The fourth proportional to 3,762.47, 5,641.31 and 2,006.39 is: 3,008.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.47 : 5,641.31 = 2,006.39 : x
  2. Step 2: Convert to fraction form
    3,762.47/5,641.31 = 2,006.39/x
  3. Step 3: Cross multiply
    3,762.47x = 5,641.31 × 2,006.39
  4. Step 4: Simplify right side
    3,762.47x = 11,318,687.09
  5. Step 5: Solve for x
    x = 11,318,687.09/3,762.47
  6. Step 6: Final answer
    x = 3,008.31

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