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Finding the Fourth Proportional to 4,177.36, 6,265.86 and 1,711.36

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Solution

The fourth proportional to 4,177.36, 6,265.86 and 1,711.36 is: 2,566.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177.36 : 6,265.86 = 1,711.36 : x
  2. Step 2: Convert to fraction form
    4,177.36/6,265.86 = 1,711.36/x
  3. Step 3: Cross multiply
    4,177.36x = 6,265.86 × 1,711.36
  4. Step 4: Simplify right side
    4,177.36x = 10,723,142.17
  5. Step 5: Solve for x
    x = 10,723,142.17/4,177.36
  6. Step 6: Final answer
    x = 2,566.97

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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.