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Finding the Fourth Proportional to 5,148.19, 7,105.78 and 3,382.19

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Solution

The fourth proportional to 5,148.19, 7,105.78 and 3,382.19 is: 4,668.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.19 : 7,105.78 = 3,382.19 : x
  2. Step 2: Convert to fraction form
    5,148.19/7,105.78 = 3,382.19/x
  3. Step 3: Cross multiply
    5,148.19x = 7,105.78 × 3,382.19
  4. Step 4: Simplify right side
    5,148.19x = 24,033,074.38
  5. Step 5: Solve for x
    x = 24,033,074.38/5,148.19
  6. Step 6: Final answer
    x = 4,668.26

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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.