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Finding the Fourth Proportional to 3,494.67, 5,243.73 and 2,574.30

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Solution

The fourth proportional to 3,494.67, 5,243.73 and 2,574.30 is: 3,862.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.67 : 5,243.73 = 2,574.30 : x
  2. Step 2: Convert to fraction form
    3,494.67/5,243.73 = 2,574.30/x
  3. Step 3: Cross multiply
    3,494.67x = 5,243.73 × 2,574.30
  4. Step 4: Simplify right side
    3,494.67x = 13,498,934.14
  5. Step 5: Solve for x
    x = 13,498,934.14/3,494.67
  6. Step 6: Final answer
    x = 3,862.72

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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.