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Finding the Fourth Proportional to 3,494.34, 5,236.65 and 2,901.42

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Solution

The fourth proportional to 3,494.34, 5,236.65 and 2,901.42 is: 4,348.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.34 : 5,236.65 = 2,901.42 : x
  2. Step 2: Convert to fraction form
    3,494.34/5,236.65 = 2,901.42/x
  3. Step 3: Cross multiply
    3,494.34x = 5,236.65 × 2,901.42
  4. Step 4: Simplify right side
    3,494.34x = 15,193,721.04
  5. Step 5: Solve for x
    x = 15,193,721.04/3,494.34
  6. Step 6: Final answer
    x = 4,348.09

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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.