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Finding the Fourth Proportional to 5,847.92, 8,770.63 and 1,687.15

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Solution

The fourth proportional to 5,847.92, 8,770.63 and 1,687.15 is: 2,530.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.92 : 8,770.63 = 1,687.15 : x
  2. Step 2: Convert to fraction form
    5,847.92/8,770.63 = 1,687.15/x
  3. Step 3: Cross multiply
    5,847.92x = 8,770.63 × 1,687.15
  4. Step 4: Simplify right side
    5,847.92x = 14,797,368.40
  5. Step 5: Solve for x
    x = 14,797,368.40/5,847.92
  6. Step 6: Final answer
    x = 2,530.36

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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.