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Finding the Fourth Proportional to 4,876.38, 7,314.56 and 1,956.74

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Solution

The fourth proportional to 4,876.38, 7,314.56 and 1,956.74 is: 2,935.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,876.38 : 7,314.56 = 1,956.74 : x
  2. Step 2: Convert to fraction form
    4,876.38/7,314.56 = 1,956.74/x
  3. Step 3: Cross multiply
    4,876.38x = 7,314.56 × 1,956.74
  4. Step 4: Simplify right side
    4,876.38x = 14,312,645.78
  5. Step 5: Solve for x
    x = 14,312,645.78/4,876.38
  6. Step 6: Final answer
    x = 2,935.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.