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Finding the Fourth Proportional to 4,776.57, 7,158.78 and 2,587.14

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Solution

The fourth proportional to 4,776.57, 7,158.78 and 2,587.14 is: 3,877.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.57 : 7,158.78 = 2,587.14 : x
  2. Step 2: Convert to fraction form
    4,776.57/7,158.78 = 2,587.14/x
  3. Step 3: Cross multiply
    4,776.57x = 7,158.78 × 2,587.14
  4. Step 4: Simplify right side
    4,776.57x = 18,520,766.09
  5. Step 5: Solve for x
    x = 18,520,766.09/4,776.57
  6. Step 6: Final answer
    x = 3,877.42

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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.