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Finding the Fourth Proportional to 4,956.28, 6,839.69 and 2,860.41

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Solution

The fourth proportional to 4,956.28, 6,839.69 and 2,860.41 is: 3,947.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,956.28 : 6,839.69 = 2,860.41 : x
  2. Step 2: Convert to fraction form
    4,956.28/6,839.69 = 2,860.41/x
  3. Step 3: Cross multiply
    4,956.28x = 6,839.69 × 2,860.41
  4. Step 4: Simplify right side
    4,956.28x = 19,564,317.67
  5. Step 5: Solve for x
    x = 19,564,317.67/4,956.28
  6. Step 6: Final answer
    x = 3,947.38

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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.