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Finding the Fourth Proportional to 5,478, 8,220.24 and 2,357.92

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Solution

The fourth proportional to 5,478, 8,220.24 and 2,357.92 is: 3,538.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478 : 8,220.24 = 2,357.92 : x
  2. Step 2: Convert to fraction form
    5,478/8,220.24 = 2,357.92/x
  3. Step 3: Cross multiply
    5,478x = 8,220.24 × 2,357.92
  4. Step 4: Simplify right side
    5,478x = 19,382,668.30
  5. Step 5: Solve for x
    x = 19,382,668.30/5,478
  6. Step 6: Final answer
    x = 3,538.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.