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Finding the Fourth Proportional to 4,242.92, 5,855.25 and 2,354.38

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Solution

The fourth proportional to 4,242.92, 5,855.25 and 2,354.38 is: 3,249.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.92 : 5,855.25 = 2,354.38 : x
  2. Step 2: Convert to fraction form
    4,242.92/5,855.25 = 2,354.38/x
  3. Step 3: Cross multiply
    4,242.92x = 5,855.25 × 2,354.38
  4. Step 4: Simplify right side
    4,242.92x = 13,785,483.50
  5. Step 5: Solve for x
    x = 13,785,483.50/4,242.92
  6. Step 6: Final answer
    x = 3,249.06

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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.