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Finding the Fourth Proportional to 4,098.60, 5,654.81 and 2,837.70

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Solution

The fourth proportional to 4,098.60, 5,654.81 and 2,837.70 is: 3,915.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.60 : 5,654.81 = 2,837.70 : x
  2. Step 2: Convert to fraction form
    4,098.60/5,654.81 = 2,837.70/x
  3. Step 3: Cross multiply
    4,098.60x = 5,654.81 × 2,837.70
  4. Step 4: Simplify right side
    4,098.60x = 16,046,661.43
  5. Step 5: Solve for x
    x = 16,046,661.43/4,098.60
  6. Step 6: Final answer
    x = 3,915.16

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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.