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Finding the Fourth Proportional to 5,632.86, 7,772.16 and 3,273.78

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Solution

The fourth proportional to 5,632.86, 7,772.16 and 3,273.78 is: 4,517.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.86 : 7,772.16 = 3,273.78 : x
  2. Step 2: Convert to fraction form
    5,632.86/7,772.16 = 3,273.78/x
  3. Step 3: Cross multiply
    5,632.86x = 7,772.16 × 3,273.78
  4. Step 4: Simplify right side
    5,632.86x = 25,444,341.96
  5. Step 5: Solve for x
    x = 25,444,341.96/5,632.86
  6. Step 6: Final answer
    x = 4,517.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.