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Finding the Fourth Proportional to 5,337.20, 7,363.84 and 3,098.64

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Solution

The fourth proportional to 5,337.20, 7,363.84 and 3,098.64 is: 4,275.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,337.20 : 7,363.84 = 3,098.64 : x
  2. Step 2: Convert to fraction form
    5,337.20/7,363.84 = 3,098.64/x
  3. Step 3: Cross multiply
    5,337.20x = 7,363.84 × 3,098.64
  4. Step 4: Simplify right side
    5,337.20x = 22,817,889.18
  5. Step 5: Solve for x
    x = 22,817,889.18/5,337.20
  6. Step 6: Final answer
    x = 4,275.25

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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.