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Finding the Fourth Proportional to 5,532.80, 7,638.05 and 3,647.12

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Solution

The fourth proportional to 5,532.80, 7,638.05 and 3,647.12 is: 5,034.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,532.80 : 7,638.05 = 3,647.12 : x
  2. Step 2: Convert to fraction form
    5,532.80/7,638.05 = 3,647.12/x
  3. Step 3: Cross multiply
    5,532.80x = 7,638.05 × 3,647.12
  4. Step 4: Simplify right side
    5,532.80x = 27,856,828.49
  5. Step 5: Solve for x
    x = 27,856,828.49/5,532.80
  6. Step 6: Final answer
    x = 5,034.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.