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Finding the Fourth Proportional to 4,100.38, 5,658.24 and 2,421.84

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Solution

The fourth proportional to 4,100.38, 5,658.24 and 2,421.84 is: 3,341.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.38 : 5,658.24 = 2,421.84 : x
  2. Step 2: Convert to fraction form
    4,100.38/5,658.24 = 2,421.84/x
  3. Step 3: Cross multiply
    4,100.38x = 5,658.24 × 2,421.84
  4. Step 4: Simplify right side
    4,100.38x = 13,703,351.96
  5. Step 5: Solve for x
    x = 13,703,351.96/4,100.38
  6. Step 6: Final answer
    x = 3,341.97

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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.