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Finding the Fourth Proportional to 4,956.57, 6,838.02 and 3,278.79

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Solution

The fourth proportional to 4,956.57, 6,838.02 and 3,278.79 is: 4,523.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,956.57 : 6,838.02 = 3,278.79 : x
  2. Step 2: Convert to fraction form
    4,956.57/6,838.02 = 3,278.79/x
  3. Step 3: Cross multiply
    4,956.57x = 6,838.02 × 3,278.79
  4. Step 4: Simplify right side
    4,956.57x = 22,420,431.60
  5. Step 5: Solve for x
    x = 22,420,431.60/4,956.57
  6. Step 6: Final answer
    x = 4,523.38

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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.