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Finding the Fourth Proportional to 5,542.74, 8,307.74 and 2,422.02

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Solution

The fourth proportional to 5,542.74, 8,307.74 and 2,422.02 is: 3,630.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.74 : 8,307.74 = 2,422.02 : x
  2. Step 2: Convert to fraction form
    5,542.74/8,307.74 = 2,422.02/x
  3. Step 3: Cross multiply
    5,542.74x = 8,307.74 × 2,422.02
  4. Step 4: Simplify right side
    5,542.74x = 20,121,458.79
  5. Step 5: Solve for x
    x = 20,121,458.79/5,542.74
  6. Step 6: Final answer
    x = 3,630.24

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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.