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Finding the Fourth Proportional to 5,877.73, 8,799.27 and 5,148.73

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Solution

The fourth proportional to 5,877.73, 8,799.27 and 5,148.73 is: 7,707.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.73 : 8,799.27 = 5,148.73 : x
  2. Step 2: Convert to fraction form
    5,877.73/8,799.27 = 5,148.73/x
  3. Step 3: Cross multiply
    5,877.73x = 8,799.27 × 5,148.73
  4. Step 4: Simplify right side
    5,877.73x = 45,305,065.43
  5. Step 5: Solve for x
    x = 45,305,065.43/5,877.73
  6. Step 6: Final answer
    x = 7,707.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.