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Finding the Fourth Proportional to 5,878.68, 8,814.84 and 2,587.92

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Solution

The fourth proportional to 5,878.68, 8,814.84 and 2,587.92 is: 3,880.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.68 : 8,814.84 = 2,587.92 : x
  2. Step 2: Convert to fraction form
    5,878.68/8,814.84 = 2,587.92/x
  3. Step 3: Cross multiply
    5,878.68x = 8,814.84 × 2,587.92
  4. Step 4: Simplify right side
    5,878.68x = 22,812,100.73
  5. Step 5: Solve for x
    x = 22,812,100.73/5,878.68
  6. Step 6: Final answer
    x = 3,880.48

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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.