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Finding the Fourth Proportional to 5,596.38, 7,723 and 3,112.38

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Solution

The fourth proportional to 5,596.38, 7,723 and 3,112.38 is: 4,295.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,596.38 : 7,723 = 3,112.38 : x
  2. Step 2: Convert to fraction form
    5,596.38/7,723 = 3,112.38/x
  3. Step 3: Cross multiply
    5,596.38x = 7,723 × 3,112.38
  4. Step 4: Simplify right side
    5,596.38x = 24,036,910.74
  5. Step 5: Solve for x
    x = 24,036,910.74/5,596.38
  6. Step 6: Final answer
    x = 4,295.08

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1.5x scale

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.