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Finding the Fourth Proportional to 4,099.72, 5,654.10 and 2,701

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Solution

The fourth proportional to 4,099.72, 5,654.10 and 2,701 is: 3,725.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.72 : 5,654.10 = 2,701 : x
  2. Step 2: Convert to fraction form
    4,099.72/5,654.10 = 2,701/x
  3. Step 3: Cross multiply
    4,099.72x = 5,654.10 × 2,701
  4. Step 4: Simplify right side
    4,099.72x = 15,271,724.10
  5. Step 5: Solve for x
    x = 15,271,724.10/4,099.72
  6. Step 6: Final answer
    x = 3,725.07

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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.