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Finding the Fourth Proportional to 5,132.33, 7,704.87 and 5,108.64

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Solution

The fourth proportional to 5,132.33, 7,704.87 and 5,108.64 is: 7,669.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,132.33 : 7,704.87 = 5,108.64 : x
  2. Step 2: Convert to fraction form
    5,132.33/7,704.87 = 5,108.64/x
  3. Step 3: Cross multiply
    5,132.33x = 7,704.87 × 5,108.64
  4. Step 4: Simplify right side
    5,132.33x = 39,361,407.08
  5. Step 5: Solve for x
    x = 39,361,407.08/5,132.33
  6. Step 6: Final answer
    x = 7,669.31

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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.