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Finding the Fourth Proportional to 3,497.25, 5,245.88 and 2,398.29

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Solution

The fourth proportional to 3,497.25, 5,245.88 and 2,398.29 is: 3,597.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.25 : 5,245.88 = 2,398.29 : x
  2. Step 2: Convert to fraction form
    3,497.25/5,245.88 = 2,398.29/x
  3. Step 3: Cross multiply
    3,497.25x = 5,245.88 × 2,398.29
  4. Step 4: Simplify right side
    3,497.25x = 12,581,109.88
  5. Step 5: Solve for x
    x = 12,581,109.88/3,497.25
  6. Step 6: Final answer
    x = 3,597.43

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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.