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Finding the Fourth Proportional to 3,410.72, 4,708.12 and 2,294.84

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Solution

The fourth proportional to 3,410.72, 4,708.12 and 2,294.84 is: 3,167.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.72 : 4,708.12 = 2,294.84 : x
  2. Step 2: Convert to fraction form
    3,410.72/4,708.12 = 2,294.84/x
  3. Step 3: Cross multiply
    3,410.72x = 4,708.12 × 2,294.84
  4. Step 4: Simplify right side
    3,410.72x = 10,804,375.29
  5. Step 5: Solve for x
    x = 10,804,375.29/3,410.72
  6. Step 6: Final answer
    x = 3,167.77

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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.