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Finding the Fourth Proportional to 3,497.67, 5,247.41 and 1,306.41

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Solution

The fourth proportional to 3,497.67, 5,247.41 and 1,306.41 is: 1,959.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.67 : 5,247.41 = 1,306.41 : x
  2. Step 2: Convert to fraction form
    3,497.67/5,247.41 = 1,306.41/x
  3. Step 3: Cross multiply
    3,497.67x = 5,247.41 × 1,306.41
  4. Step 4: Simplify right side
    3,497.67x = 6,855,262.37
  5. Step 5: Solve for x
    x = 6,855,262.37/3,497.67
  6. Step 6: Final answer
    x = 1,959.95

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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.