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Finding the Fourth Proportional to 5,616, 8,425.92 and 3,147.84

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Solution

The fourth proportional to 5,616, 8,425.92 and 3,147.84 is: 4,722.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616 : 8,425.92 = 3,147.84 : x
  2. Step 2: Convert to fraction form
    5,616/8,425.92 = 3,147.84/x
  3. Step 3: Cross multiply
    5,616x = 8,425.92 × 3,147.84
  4. Step 4: Simplify right side
    5,616x = 26,523,448.01
  5. Step 5: Solve for x
    x = 26,523,448.01/5,616
  6. Step 6: Final answer
    x = 4,722.84

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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.