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Finding the Fourth Proportional to 3,647.34, 5,469.63 and 1,306.71

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Solution

The fourth proportional to 3,647.34, 5,469.63 and 1,306.71 is: 1,959.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.34 : 5,469.63 = 1,306.71 : x
  2. Step 2: Convert to fraction form
    3,647.34/5,469.63 = 1,306.71/x
  3. Step 3: Cross multiply
    3,647.34x = 5,469.63 × 1,306.71
  4. Step 4: Simplify right side
    3,647.34x = 7,147,220.22
  5. Step 5: Solve for x
    x = 7,147,220.22/3,647.34
  6. Step 6: Final answer
    x = 1,959.57

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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.