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Finding the Fourth Proportional to 3,498.16, 5,245.57 and 1,275.42

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Solution

The fourth proportional to 3,498.16, 5,245.57 and 1,275.42 is: 1,912.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.16 : 5,245.57 = 1,275.42 : x
  2. Step 2: Convert to fraction form
    3,498.16/5,245.57 = 1,275.42/x
  3. Step 3: Cross multiply
    3,498.16x = 5,245.57 × 1,275.42
  4. Step 4: Simplify right side
    3,498.16x = 6,690,304.89
  5. Step 5: Solve for x
    x = 6,690,304.89/3,498.16
  6. Step 6: Final answer
    x = 1,912.52

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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.