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Finding the Fourth Proportional to 5,616.24, 7,750.80 and 3,259.20

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Solution

The fourth proportional to 5,616.24, 7,750.80 and 3,259.20 is: 4,497.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.24 : 7,750.80 = 3,259.20 : x
  2. Step 2: Convert to fraction form
    5,616.24/7,750.80 = 3,259.20/x
  3. Step 3: Cross multiply
    5,616.24x = 7,750.80 × 3,259.20
  4. Step 4: Simplify right side
    5,616.24x = 25,261,407.36
  5. Step 5: Solve for x
    x = 25,261,407.36/5,616.24
  6. Step 6: Final answer
    x = 4,497.92

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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.