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Finding the Fourth Proportional to 3,563.44, 5,319.07 and 3,142.61

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Solution

The fourth proportional to 3,563.44, 5,319.07 and 3,142.61 is: 4,690.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.44 : 5,319.07 = 3,142.61 : x
  2. Step 2: Convert to fraction form
    3,563.44/5,319.07 = 3,142.61/x
  3. Step 3: Cross multiply
    3,563.44x = 5,319.07 × 3,142.61
  4. Step 4: Simplify right side
    3,563.44x = 16,715,765.74
  5. Step 5: Solve for x
    x = 16,715,765.74/3,563.44
  6. Step 6: Final answer
    x = 4,690.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.