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Finding the Fourth Proportional to 5,596, 7,722.72 and 3,112

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Solution

The fourth proportional to 5,596, 7,722.72 and 3,112 is: 4,294.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,596 : 7,722.72 = 3,112 : x
  2. Step 2: Convert to fraction form
    5,596/7,722.72 = 3,112/x
  3. Step 3: Cross multiply
    5,596x = 7,722.72 × 3,112
  4. Step 4: Simplify right side
    5,596x = 24,033,104.64
  5. Step 5: Solve for x
    x = 24,033,104.64/5,596
  6. Step 6: Final answer
    x = 4,294.69

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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.