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Finding the Fourth Proportional to 5,773.68, 7,965 and 3,648.24

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Solution

The fourth proportional to 5,773.68, 7,965 and 3,648.24 is: 5,032.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.68 : 7,965 = 3,648.24 : x
  2. Step 2: Convert to fraction form
    5,773.68/7,965 = 3,648.24/x
  3. Step 3: Cross multiply
    5,773.68x = 7,965 × 3,648.24
  4. Step 4: Simplify right side
    5,773.68x = 29,058,231.60
  5. Step 5: Solve for x
    x = 29,058,231.60/5,773.68
  6. Step 6: Final answer
    x = 5,032.88

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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.