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Finding the Fourth Proportional to 3,781.54, 5,217.88 and 2,102.72

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Solution

The fourth proportional to 3,781.54, 5,217.88 and 2,102.72 is: 2,901.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.54 : 5,217.88 = 2,102.72 : x
  2. Step 2: Convert to fraction form
    3,781.54/5,217.88 = 2,102.72/x
  3. Step 3: Cross multiply
    3,781.54x = 5,217.88 × 2,102.72
  4. Step 4: Simplify right side
    3,781.54x = 10,971,743.02
  5. Step 5: Solve for x
    x = 10,971,743.02/3,781.54
  6. Step 6: Final answer
    x = 2,901.40

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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.