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Finding the Fourth Proportional to 5,630.13, 7,769.52 and 3,112.38

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Solution

The fourth proportional to 5,630.13, 7,769.52 and 3,112.38 is: 4,295.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.13 : 7,769.52 = 3,112.38 : x
  2. Step 2: Convert to fraction form
    5,630.13/7,769.52 = 3,112.38/x
  3. Step 3: Cross multiply
    5,630.13x = 7,769.52 × 3,112.38
  4. Step 4: Simplify right side
    5,630.13x = 24,181,698.66
  5. Step 5: Solve for x
    x = 24,181,698.66/5,630.13
  6. Step 6: Final answer
    x = 4,295.05

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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.