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Finding the Fourth Proportional to 5,753.32, 8,615.34 and 3,802.60

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Solution

The fourth proportional to 5,753.32, 8,615.34 and 3,802.60 is: 5,694.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.32 : 8,615.34 = 3,802.60 : x
  2. Step 2: Convert to fraction form
    5,753.32/8,615.34 = 3,802.60/x
  3. Step 3: Cross multiply
    5,753.32x = 8,615.34 × 3,802.60
  4. Step 4: Simplify right side
    5,753.32x = 32,760,691.88
  5. Step 5: Solve for x
    x = 32,760,691.88/5,753.32
  6. Step 6: Final answer
    x = 5,694.22

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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.