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Finding the Fourth Proportional to 5,422.60, 8,141.19 and 3,478.60

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Solution

The fourth proportional to 5,422.60, 8,141.19 and 3,478.60 is: 5,222.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.60 : 8,141.19 = 3,478.60 : x
  2. Step 2: Convert to fraction form
    5,422.60/8,141.19 = 3,478.60/x
  3. Step 3: Cross multiply
    5,422.60x = 8,141.19 × 3,478.60
  4. Step 4: Simplify right side
    5,422.60x = 28,319,943.53
  5. Step 5: Solve for x
    x = 28,319,943.53/5,422.60
  6. Step 6: Final answer
    x = 5,222.58

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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.