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Finding the Fourth Proportional to 5,251.83, 7,880.49 and 3,402.47

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Solution

The fourth proportional to 5,251.83, 7,880.49 and 3,402.47 is: 5,105.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251.83 : 7,880.49 = 3,402.47 : x
  2. Step 2: Convert to fraction form
    5,251.83/7,880.49 = 3,402.47/x
  3. Step 3: Cross multiply
    5,251.83x = 7,880.49 × 3,402.47
  4. Step 4: Simplify right side
    5,251.83x = 26,813,091.41
  5. Step 5: Solve for x
    x = 26,813,091.41/5,251.83
  6. Step 6: Final answer
    x = 5,105.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.