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Finding the Fourth Proportional to 5,251.58, 7,880.12 and 3,402.22

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Solution

The fourth proportional to 5,251.58, 7,880.12 and 3,402.22 is: 5,105.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251.58 : 7,880.12 = 3,402.22 : x
  2. Step 2: Convert to fraction form
    5,251.58/7,880.12 = 3,402.22/x
  3. Step 3: Cross multiply
    5,251.58x = 7,880.12 × 3,402.22
  4. Step 4: Simplify right side
    5,251.58x = 26,809,901.87
  5. Step 5: Solve for x
    x = 26,809,901.87/5,251.58
  6. Step 6: Final answer
    x = 5,105.11

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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.