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Finding the Fourth Proportional to 4,132.62, 5,699.16 and 3,708.45

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Solution

The fourth proportional to 4,132.62, 5,699.16 and 3,708.45 is: 5,114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,132.62 : 5,699.16 = 3,708.45 : x
  2. Step 2: Convert to fraction form
    4,132.62/5,699.16 = 3,708.45/x
  3. Step 3: Cross multiply
    4,132.62x = 5,699.16 × 3,708.45
  4. Step 4: Simplify right side
    4,132.62x = 21,135,049.90
  5. Step 5: Solve for x
    x = 21,135,049.90/4,132.62
  6. Step 6: Final answer
    x = 5,114.20

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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.