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Finding the Fourth Proportional to 3,436.38, 4,742.08 and 1,864.44

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Solution

The fourth proportional to 3,436.38, 4,742.08 and 1,864.44 is: 2,572.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.38 : 4,742.08 = 1,864.44 : x
  2. Step 2: Convert to fraction form
    3,436.38/4,742.08 = 1,864.44/x
  3. Step 3: Cross multiply
    3,436.38x = 4,742.08 × 1,864.44
  4. Step 4: Simplify right side
    3,436.38x = 8,841,318.97
  5. Step 5: Solve for x
    x = 8,841,318.97/3,436.38
  6. Step 6: Final answer
    x = 2,572.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.