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Finding the Fourth Proportional to 3,665.68, 5,057.31 and 2,339.98

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Solution

The fourth proportional to 3,665.68, 5,057.31 and 2,339.98 is: 3,228.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.68 : 5,057.31 = 2,339.98 : x
  2. Step 2: Convert to fraction form
    3,665.68/5,057.31 = 2,339.98/x
  3. Step 3: Cross multiply
    3,665.68x = 5,057.31 × 2,339.98
  4. Step 4: Simplify right side
    3,665.68x = 11,834,004.25
  5. Step 5: Solve for x
    x = 11,834,004.25/3,665.68
  6. Step 6: Final answer
    x = 3,228.32

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