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Finding the Fourth Proportional to 5,247.86, 7,864.76 and 3,854.66

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Solution

The fourth proportional to 5,247.86, 7,864.76 and 3,854.66 is: 5,776.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,247.86 : 7,864.76 = 3,854.66 : x
  2. Step 2: Convert to fraction form
    5,247.86/7,864.76 = 3,854.66/x
  3. Step 3: Cross multiply
    5,247.86x = 7,864.76 × 3,854.66
  4. Step 4: Simplify right side
    5,247.86x = 30,315,946.09
  5. Step 5: Solve for x
    x = 30,315,946.09/5,247.86
  6. Step 6: Final answer
    x = 5,776.83

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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.