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Finding the Fourth Proportional to 4,974.12, 6,863.76 and 2,984.76

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Solution

The fourth proportional to 4,974.12, 6,863.76 and 2,984.76 is: 4,118.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.12 : 6,863.76 = 2,984.76 : x
  2. Step 2: Convert to fraction form
    4,974.12/6,863.76 = 2,984.76/x
  3. Step 3: Cross multiply
    4,974.12x = 6,863.76 × 2,984.76
  4. Step 4: Simplify right side
    4,974.12x = 20,486,676.30
  5. Step 5: Solve for x
    x = 20,486,676.30/4,974.12
  6. Step 6: Final answer
    x = 4,118.65

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