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Finding the Fourth Proportional to 3,497.40, 5,248.82 and 1,306.26

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Solution

The fourth proportional to 3,497.40, 5,248.82 and 1,306.26 is: 1,960.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.40 : 5,248.82 = 1,306.26 : x
  2. Step 2: Convert to fraction form
    3,497.40/5,248.82 = 1,306.26/x
  3. Step 3: Cross multiply
    3,497.40x = 5,248.82 × 1,306.26
  4. Step 4: Simplify right side
    3,497.40x = 6,856,323.61
  5. Step 5: Solve for x
    x = 6,856,323.61/3,497.40
  6. Step 6: Final answer
    x = 1,960.41

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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.