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Finding the Fourth Proportional to 5,616.70, 7,750.68 and 3,098.82

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Solution

The fourth proportional to 5,616.70, 7,750.68 and 3,098.82 is: 4,276.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.70 : 7,750.68 = 3,098.82 : x
  2. Step 2: Convert to fraction form
    5,616.70/7,750.68 = 3,098.82/x
  3. Step 3: Cross multiply
    5,616.70x = 7,750.68 × 3,098.82
  4. Step 4: Simplify right side
    5,616.70x = 24,017,962.20
  5. Step 5: Solve for x
    x = 24,017,962.20/5,616.70
  6. Step 6: Final answer
    x = 4,276.17

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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.