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Finding the Fourth Proportional to 5,487.60, 8,234.10 and 4,170.90

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Solution

The fourth proportional to 5,487.60, 8,234.10 and 4,170.90 is: 6,258.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,487.60 : 8,234.10 = 4,170.90 : x
  2. Step 2: Convert to fraction form
    5,487.60/8,234.10 = 4,170.90/x
  3. Step 3: Cross multiply
    5,487.60x = 8,234.10 × 4,170.90
  4. Step 4: Simplify right side
    5,487.60x = 34,343,607.69
  5. Step 5: Solve for x
    x = 34,343,607.69/5,487.60
  6. Step 6: Final answer
    x = 6,258.40

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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.