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Finding the Fourth Proportional to 4,877.28, 6,731.64 and 3,305.88

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Solution

The fourth proportional to 4,877.28, 6,731.64 and 3,305.88 is: 4,562.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877.28 : 6,731.64 = 3,305.88 : x
  2. Step 2: Convert to fraction form
    4,877.28/6,731.64 = 3,305.88/x
  3. Step 3: Cross multiply
    4,877.28x = 6,731.64 × 3,305.88
  4. Step 4: Simplify right side
    4,877.28x = 22,253,994.04
  5. Step 5: Solve for x
    x = 22,253,994.04/4,877.28
  6. Step 6: Final answer
    x = 4,562.79

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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.