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Finding the Fourth Proportional to 4,177.86, 6,266.07 and 1,711.14

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Solution

The fourth proportional to 4,177.86, 6,266.07 and 1,711.14 is: 2,566.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177.86 : 6,266.07 = 1,711.14 : x
  2. Step 2: Convert to fraction form
    4,177.86/6,266.07 = 1,711.14/x
  3. Step 3: Cross multiply
    4,177.86x = 6,266.07 × 1,711.14
  4. Step 4: Simplify right side
    4,177.86x = 10,722,123.02
  5. Step 5: Solve for x
    x = 10,722,123.02/4,177.86
  6. Step 6: Final answer
    x = 2,566.42

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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.