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Finding the Fourth Proportional to 4,877.88, 6,731.55 and 2,781.87

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Solution

The fourth proportional to 4,877.88, 6,731.55 and 2,781.87 is: 3,839.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877.88 : 6,731.55 = 2,781.87 : x
  2. Step 2: Convert to fraction form
    4,877.88/6,731.55 = 2,781.87/x
  3. Step 3: Cross multiply
    4,877.88x = 6,731.55 × 2,781.87
  4. Step 4: Simplify right side
    4,877.88x = 18,726,297.00
  5. Step 5: Solve for x
    x = 18,726,297.00/4,877.88
  6. Step 6: Final answer
    x = 3,839.02

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Why These Related Problems?

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