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Finding the Fourth Proportional to 3,412.79, 4,711.97 and 2,516.63

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Solution

The fourth proportional to 3,412.79, 4,711.97 and 2,516.63 is: 3,474.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.79 : 4,711.97 = 2,516.63 : x
  2. Step 2: Convert to fraction form
    3,412.79/4,711.97 = 2,516.63/x
  3. Step 3: Cross multiply
    3,412.79x = 4,711.97 × 2,516.63
  4. Step 4: Simplify right side
    3,412.79x = 11,858,248.92
  5. Step 5: Solve for x
    x = 11,858,248.92/3,412.79
  6. Step 6: Final answer
    x = 3,474.65

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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.