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Finding the Fourth Proportional to 5,267.46, 7,905.72 and 2,149.18

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Solution

The fourth proportional to 5,267.46, 7,905.72 and 2,149.18 is: 3,225.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267.46 : 7,905.72 = 2,149.18 : x
  2. Step 2: Convert to fraction form
    5,267.46/7,905.72 = 2,149.18/x
  3. Step 3: Cross multiply
    5,267.46x = 7,905.72 × 2,149.18
  4. Step 4: Simplify right side
    5,267.46x = 16,990,815.31
  5. Step 5: Solve for x
    x = 16,990,815.31/5,267.46
  6. Step 6: Final answer
    x = 3,225.62

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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.