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Finding the Fourth Proportional to 4,162.69, 6,244.17 and 1,565.02

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Solution

The fourth proportional to 4,162.69, 6,244.17 and 1,565.02 is: 2,347.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.69 : 6,244.17 = 1,565.02 : x
  2. Step 2: Convert to fraction form
    4,162.69/6,244.17 = 1,565.02/x
  3. Step 3: Cross multiply
    4,162.69x = 6,244.17 × 1,565.02
  4. Step 4: Simplify right side
    4,162.69x = 9,772,250.93
  5. Step 5: Solve for x
    x = 9,772,250.93/4,162.69
  6. Step 6: Final answer
    x = 2,347.58

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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.