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Finding the Fourth Proportional to 3,930.77, 5,881.61 and 3,460.02

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Solution

The fourth proportional to 3,930.77, 5,881.61 and 3,460.02 is: 5,177.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.77 : 5,881.61 = 3,460.02 : x
  2. Step 2: Convert to fraction form
    3,930.77/5,881.61 = 3,460.02/x
  3. Step 3: Cross multiply
    3,930.77x = 5,881.61 × 3,460.02
  4. Step 4: Simplify right side
    3,930.77x = 20,350,470.93
  5. Step 5: Solve for x
    x = 20,350,470.93/3,930.77
  6. Step 6: Final answer
    x = 5,177.23

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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.