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Finding the Fourth Proportional to 5,937.60, 8,181.60 and 4,171.20

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Solution

The fourth proportional to 5,937.60, 8,181.60 and 4,171.20 is: 5,747.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,937.60 : 8,181.60 = 4,171.20 : x
  2. Step 2: Convert to fraction form
    5,937.60/8,181.60 = 4,171.20/x
  3. Step 3: Cross multiply
    5,937.60x = 8,181.60 × 4,171.20
  4. Step 4: Simplify right side
    5,937.60x = 34,127,089.92
  5. Step 5: Solve for x
    x = 34,127,089.92/5,937.60
  6. Step 6: Final answer
    x = 5,747.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.