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Finding the Fourth Proportional to 5,451.76, 8,172.78 and 2,487.16

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Solution

The fourth proportional to 5,451.76, 8,172.78 and 2,487.16 is: 3,728.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,451.76 : 8,172.78 = 2,487.16 : x
  2. Step 2: Convert to fraction form
    5,451.76/8,172.78 = 2,487.16/x
  3. Step 3: Cross multiply
    5,451.76x = 8,172.78 × 2,487.16
  4. Step 4: Simplify right side
    5,451.76x = 20,327,011.50
  5. Step 5: Solve for x
    x = 20,327,011.50/5,451.76
  6. Step 6: Final answer
    x = 3,728.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.