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Finding the Fourth Proportional to 3,494.72, 4,823.52 and 2,098.88

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Solution

The fourth proportional to 3,494.72, 4,823.52 and 2,098.88 is: 2,896.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.72 : 4,823.52 = 2,098.88 : x
  2. Step 2: Convert to fraction form
    3,494.72/4,823.52 = 2,098.88/x
  3. Step 3: Cross multiply
    3,494.72x = 4,823.52 × 2,098.88
  4. Step 4: Simplify right side
    3,494.72x = 10,123,989.66
  5. Step 5: Solve for x
    x = 10,123,989.66/3,494.72
  6. Step 6: Final answer
    x = 2,896.94

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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.