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Finding the Fourth Proportional to 5,438.31, 7,500.70 and 3,645.22

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Solution

The fourth proportional to 5,438.31, 7,500.70 and 3,645.22 is: 5,027.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.31 : 7,500.70 = 3,645.22 : x
  2. Step 2: Convert to fraction form
    5,438.31/7,500.70 = 3,645.22/x
  3. Step 3: Cross multiply
    5,438.31x = 7,500.70 × 3,645.22
  4. Step 4: Simplify right side
    5,438.31x = 27,341,683.43
  5. Step 5: Solve for x
    x = 27,341,683.43/5,438.31
  6. Step 6: Final answer
    x = 5,027.61

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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.