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Finding the Fourth Proportional to 5,616.32, 7,750.24 and 3,131.84

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Solution

The fourth proportional to 5,616.32, 7,750.24 and 3,131.84 is: 4,321.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.32 : 7,750.24 = 3,131.84 : x
  2. Step 2: Convert to fraction form
    5,616.32/7,750.24 = 3,131.84/x
  3. Step 3: Cross multiply
    5,616.32x = 7,750.24 × 3,131.84
  4. Step 4: Simplify right side
    5,616.32x = 24,272,511.64
  5. Step 5: Solve for x
    x = 24,272,511.64/5,616.32
  6. Step 6: Final answer
    x = 4,321.78

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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.