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Finding the Fourth Proportional to 3,778.52, 5,214.46 and 2,099.88

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Solution

The fourth proportional to 3,778.52, 5,214.46 and 2,099.88 is: 2,897.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.52 : 5,214.46 = 2,099.88 : x
  2. Step 2: Convert to fraction form
    3,778.52/5,214.46 = 2,099.88/x
  3. Step 3: Cross multiply
    3,778.52x = 5,214.46 × 2,099.88
  4. Step 4: Simplify right side
    3,778.52x = 10,949,740.26
  5. Step 5: Solve for x
    x = 10,949,740.26/3,778.52
  6. Step 6: Final answer
    x = 2,897.89

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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.