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Finding the Fourth Proportional to 4,107.38, 5,668.38 and 2,339.15

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Solution

The fourth proportional to 4,107.38, 5,668.38 and 2,339.15 is: 3,228.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.38 : 5,668.38 = 2,339.15 : x
  2. Step 2: Convert to fraction form
    4,107.38/5,668.38 = 2,339.15/x
  3. Step 3: Cross multiply
    4,107.38x = 5,668.38 × 2,339.15
  4. Step 4: Simplify right side
    4,107.38x = 13,259,162.74
  5. Step 5: Solve for x
    x = 13,259,162.74/4,107.38
  6. Step 6: Final answer
    x = 3,228.14

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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.