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Finding the Fourth Proportional to 3,498.32, 5,242.44 and 2,017.48

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Solution

The fourth proportional to 3,498.32, 5,242.44 and 2,017.48 is: 3,023.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.32 : 5,242.44 = 2,017.48 : x
  2. Step 2: Convert to fraction form
    3,498.32/5,242.44 = 2,017.48/x
  3. Step 3: Cross multiply
    3,498.32x = 5,242.44 × 2,017.48
  4. Step 4: Simplify right side
    3,498.32x = 10,576,517.85
  5. Step 5: Solve for x
    x = 10,576,517.85/3,498.32
  6. Step 6: Final answer
    x = 3,023.31

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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.