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Finding the Fourth Proportional to 4,981.46, 6,874.02 and 2,856.97

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Solution

The fourth proportional to 4,981.46, 6,874.02 and 2,856.97 is: 3,942.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,981.46 : 6,874.02 = 2,856.97 : x
  2. Step 2: Convert to fraction form
    4,981.46/6,874.02 = 2,856.97/x
  3. Step 3: Cross multiply
    4,981.46x = 6,874.02 × 2,856.97
  4. Step 4: Simplify right side
    4,981.46x = 19,638,854.63
  5. Step 5: Solve for x
    x = 19,638,854.63/4,981.46
  6. Step 6: Final answer
    x = 3,942.39

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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.