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Finding the Fourth Proportional to 4,874.57, 7,311.92 and 1,587.68

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Solution

The fourth proportional to 4,874.57, 7,311.92 and 1,587.68 is: 2,381.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874.57 : 7,311.92 = 1,587.68 : x
  2. Step 2: Convert to fraction form
    4,874.57/7,311.92 = 1,587.68/x
  3. Step 3: Cross multiply
    4,874.57x = 7,311.92 × 1,587.68
  4. Step 4: Simplify right side
    4,874.57x = 11,608,989.15
  5. Step 5: Solve for x
    x = 11,608,989.15/4,874.57
  6. Step 6: Final answer
    x = 2,381.54

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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.