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Finding the Fourth Proportional to 5,616.10, 7,749.79 and 3,098.31

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Solution

The fourth proportional to 5,616.10, 7,749.79 and 3,098.31 is: 4,275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.10 : 7,749.79 = 3,098.31 : x
  2. Step 2: Convert to fraction form
    5,616.10/7,749.79 = 3,098.31/x
  3. Step 3: Cross multiply
    5,616.10x = 7,749.79 × 3,098.31
  4. Step 4: Simplify right side
    5,616.10x = 24,011,224.73
  5. Step 5: Solve for x
    x = 24,011,224.73/5,616.10
  6. Step 6: Final answer
    x = 4,275.42

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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.