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Finding the Fourth Proportional to 3,472.47, 4,794.25 and 3,098.81

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Solution

The fourth proportional to 3,472.47, 4,794.25 and 3,098.81 is: 4,278.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.47 : 4,794.25 = 3,098.81 : x
  2. Step 2: Convert to fraction form
    3,472.47/4,794.25 = 3,098.81/x
  3. Step 3: Cross multiply
    3,472.47x = 4,794.25 × 3,098.81
  4. Step 4: Simplify right side
    3,472.47x = 14,856,485.70
  5. Step 5: Solve for x
    x = 14,856,485.70/3,472.47
  6. Step 6: Final answer
    x = 4,278.36

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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.