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Finding the Fourth Proportional to 4,179.90, 6,265.16 and 1,711.74

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Solution

The fourth proportional to 4,179.90, 6,265.16 and 1,711.74 is: 2,565.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,179.90 : 6,265.16 = 1,711.74 : x
  2. Step 2: Convert to fraction form
    4,179.90/6,265.16 = 1,711.74/x
  3. Step 3: Cross multiply
    4,179.90x = 6,265.16 × 1,711.74
  4. Step 4: Simplify right side
    4,179.90x = 10,724,324.98
  5. Step 5: Solve for x
    x = 10,724,324.98/4,179.90
  6. Step 6: Final answer
    x = 2,565.69

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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.