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Finding the Fourth Proportional to 4,177.87, 6,266.85 and 1,710.97

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Solution

The fourth proportional to 4,177.87, 6,266.85 and 1,710.97 is: 2,566.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177.87 : 6,266.85 = 1,710.97 : x
  2. Step 2: Convert to fraction form
    4,177.87/6,266.85 = 1,710.97/x
  3. Step 3: Cross multiply
    4,177.87x = 6,266.85 × 1,710.97
  4. Step 4: Simplify right side
    4,177.87x = 10,722,392.34
  5. Step 5: Solve for x
    x = 10,722,392.34/4,177.87
  6. Step 6: Final answer
    x = 2,566.47

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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.