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Finding the Fourth Proportional to 5,439.31, 7,502.07 and 3,646.22

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Solution

The fourth proportional to 5,439.31, 7,502.07 and 3,646.22 is: 5,028.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,439.31 : 7,502.07 = 3,646.22 : x
  2. Step 2: Convert to fraction form
    5,439.31/7,502.07 = 3,646.22/x
  3. Step 3: Cross multiply
    5,439.31x = 7,502.07 × 3,646.22
  4. Step 4: Simplify right side
    5,439.31x = 27,354,197.68
  5. Step 5: Solve for x
    x = 27,354,197.68/5,439.31
  6. Step 6: Final answer
    x = 5,028.98

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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.