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Finding the Fourth Proportional to 4,237.72, 6,309.11 and 4,217.20

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Solution

The fourth proportional to 4,237.72, 6,309.11 and 4,217.20 is: 6,278.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,237.72 : 6,309.11 = 4,217.20 : x
  2. Step 2: Convert to fraction form
    4,237.72/6,309.11 = 4,217.20/x
  3. Step 3: Cross multiply
    4,237.72x = 6,309.11 × 4,217.20
  4. Step 4: Simplify right side
    4,237.72x = 26,606,749.74
  5. Step 5: Solve for x
    x = 26,606,749.74/4,237.72
  6. Step 6: Final answer
    x = 6,278.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.