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Finding the Fourth Proportional to 3,465.97, 5,196.78 and 2,294.71

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Solution

The fourth proportional to 3,465.97, 5,196.78 and 2,294.71 is: 3,440.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.97 : 5,196.78 = 2,294.71 : x
  2. Step 2: Convert to fraction form
    3,465.97/5,196.78 = 2,294.71/x
  3. Step 3: Cross multiply
    3,465.97x = 5,196.78 × 2,294.71
  4. Step 4: Simplify right side
    3,465.97x = 11,925,103.03
  5. Step 5: Solve for x
    x = 11,925,103.03/3,465.97
  6. Step 6: Final answer
    x = 3,440.63

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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.