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Finding the Fourth Proportional to 5,595.75, 7,722.27 and 3,077.82

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Solution

The fourth proportional to 5,595.75, 7,722.27 and 3,077.82 is: 4,247.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,595.75 : 7,722.27 = 3,077.82 : x
  2. Step 2: Convert to fraction form
    5,595.75/7,722.27 = 3,077.82/x
  3. Step 3: Cross multiply
    5,595.75x = 7,722.27 × 3,077.82
  4. Step 4: Simplify right side
    5,595.75x = 23,767,757.05
  5. Step 5: Solve for x
    x = 23,767,757.05/5,595.75
  6. Step 6: Final answer
    x = 4,247.47

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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.