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Finding the Fourth Proportional to 6,287.71, 8,677.50 and 3,898.14

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Solution

The fourth proportional to 6,287.71, 8,677.50 and 3,898.14 is: 5,379.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.71 : 8,677.50 = 3,898.14 : x
  2. Step 2: Convert to fraction form
    6,287.71/8,677.50 = 3,898.14/x
  3. Step 3: Cross multiply
    6,287.71x = 8,677.50 × 3,898.14
  4. Step 4: Simplify right side
    6,287.71x = 33,826,109.85
  5. Step 5: Solve for x
    x = 33,826,109.85/6,287.71
  6. Step 6: Final answer
    x = 5,379.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.