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Finding the Fourth Proportional to 5,647.34, 8,470.80 and 2,137.20

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Solution

The fourth proportional to 5,647.34, 8,470.80 and 2,137.20 is: 3,205.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.34 : 8,470.80 = 2,137.20 : x
  2. Step 2: Convert to fraction form
    5,647.34/8,470.80 = 2,137.20/x
  3. Step 3: Cross multiply
    5,647.34x = 8,470.80 × 2,137.20
  4. Step 4: Simplify right side
    5,647.34x = 18,103,793.76
  5. Step 5: Solve for x
    x = 18,103,793.76/5,647.34
  6. Step 6: Final answer
    x = 3,205.72

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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.