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Finding the Fourth Proportional to 5,758.38, 7,950.39 and 4,429.74

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Solution

The fourth proportional to 5,758.38, 7,950.39 and 4,429.74 is: 6,115.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.38 : 7,950.39 = 4,429.74 : x
  2. Step 2: Convert to fraction form
    5,758.38/7,950.39 = 4,429.74/x
  3. Step 3: Cross multiply
    5,758.38x = 7,950.39 × 4,429.74
  4. Step 4: Simplify right side
    5,758.38x = 35,218,160.60
  5. Step 5: Solve for x
    x = 35,218,160.60/5,758.38
  6. Step 6: Final answer
    x = 6,115.98

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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.