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Finding the Fourth Proportional to 4,162.79, 6,244.42 and 1,565.75

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Solution

The fourth proportional to 4,162.79, 6,244.42 and 1,565.75 is: 2,348.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.79 : 6,244.42 = 1,565.75 : x
  2. Step 2: Convert to fraction form
    4,162.79/6,244.42 = 1,565.75/x
  3. Step 3: Cross multiply
    4,162.79x = 6,244.42 × 1,565.75
  4. Step 4: Simplify right side
    4,162.79x = 9,777,185.00
  5. Step 5: Solve for x
    x = 9,777,185.00/4,162.79
  6. Step 6: Final answer
    x = 2,348.71

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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.