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Finding the Fourth Proportional to 3,229.34, 4,843.98 and 1,378.88

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Solution

The fourth proportional to 3,229.34, 4,843.98 and 1,378.88 is: 2,068.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.34 : 4,843.98 = 1,378.88 : x
  2. Step 2: Convert to fraction form
    3,229.34/4,843.98 = 1,378.88/x
  3. Step 3: Cross multiply
    3,229.34x = 4,843.98 × 1,378.88
  4. Step 4: Simplify right side
    3,229.34x = 6,679,267.14
  5. Step 5: Solve for x
    x = 6,679,267.14/3,229.34
  6. Step 6: Final answer
    x = 2,068.31

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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.