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Finding the Fourth Proportional to 5,595.75, 7,722.18 and 3,077.79

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Solution

The fourth proportional to 5,595.75, 7,722.18 and 3,077.79 is: 4,247.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,595.75 : 7,722.18 = 3,077.79 : x
  2. Step 2: Convert to fraction form
    5,595.75/7,722.18 = 3,077.79/x
  3. Step 3: Cross multiply
    5,595.75x = 7,722.18 × 3,077.79
  4. Step 4: Simplify right side
    5,595.75x = 23,767,248.38
  5. Step 5: Solve for x
    x = 23,767,248.38/5,595.75
  6. Step 6: Final answer
    x = 4,247.37

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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.