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Finding the Fourth Proportional to 5,877.28, 8,781.46 and 5,673.20

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Solution

The fourth proportional to 5,877.28, 8,781.46 and 5,673.20 is: 8,476.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.28 : 8,781.46 = 5,673.20 : x
  2. Step 2: Convert to fraction form
    5,877.28/8,781.46 = 5,673.20/x
  3. Step 3: Cross multiply
    5,877.28x = 8,781.46 × 5,673.20
  4. Step 4: Simplify right side
    5,877.28x = 49,818,978.87
  5. Step 5: Solve for x
    x = 49,818,978.87/5,877.28
  6. Step 6: Final answer
    x = 8,476.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.