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Finding the Fourth Proportional to 5,441.92, 8,162.88 and 5,164.90

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Solution

The fourth proportional to 5,441.92, 8,162.88 and 5,164.90 is: 7,747.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,441.92 : 8,162.88 = 5,164.90 : x
  2. Step 2: Convert to fraction form
    5,441.92/8,162.88 = 5,164.90/x
  3. Step 3: Cross multiply
    5,441.92x = 8,162.88 × 5,164.90
  4. Step 4: Simplify right side
    5,441.92x = 42,160,458.91
  5. Step 5: Solve for x
    x = 42,160,458.91/5,441.92
  6. Step 6: Final answer
    x = 7,747.35

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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.