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Finding the Fourth Proportional to 4,243.32, 5,855.31 and 2,354.42

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Solution

The fourth proportional to 4,243.32, 5,855.31 and 2,354.42 is: 3,248.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243.32 : 5,855.31 = 2,354.42 : x
  2. Step 2: Convert to fraction form
    4,243.32/5,855.31 = 2,354.42/x
  3. Step 3: Cross multiply
    4,243.32x = 5,855.31 × 2,354.42
  4. Step 4: Simplify right side
    4,243.32x = 13,785,823.07
  5. Step 5: Solve for x
    x = 13,785,823.07/4,243.32
  6. Step 6: Final answer
    x = 3,248.83

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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.