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Finding the Fourth Proportional to 3,937.55, 5,429.64 and 3,540.78

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Solution

The fourth proportional to 3,937.55, 5,429.64 and 3,540.78 is: 4,882.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.55 : 5,429.64 = 3,540.78 : x
  2. Step 2: Convert to fraction form
    3,937.55/5,429.64 = 3,540.78/x
  3. Step 3: Cross multiply
    3,937.55x = 5,429.64 × 3,540.78
  4. Step 4: Simplify right side
    3,937.55x = 19,225,194.36
  5. Step 5: Solve for x
    x = 19,225,194.36/3,937.55
  6. Step 6: Final answer
    x = 4,882.53

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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.