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Finding the Fourth Proportional to 4,162.71, 6,243.63 and 1,565.85

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Solution

The fourth proportional to 4,162.71, 6,243.63 and 1,565.85 is: 2,348.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.71 : 6,243.63 = 1,565.85 : x
  2. Step 2: Convert to fraction form
    4,162.71/6,243.63 = 1,565.85/x
  3. Step 3: Cross multiply
    4,162.71x = 6,243.63 × 1,565.85
  4. Step 4: Simplify right side
    4,162.71x = 9,776,588.04
  5. Step 5: Solve for x
    x = 9,776,588.04/4,162.71
  6. Step 6: Final answer
    x = 2,348.61

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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.