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Finding the Fourth Proportional to 4,562.24, 6,294.34 and 3,721.48

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Solution

The fourth proportional to 4,562.24, 6,294.34 and 3,721.48 is: 5,134.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.24 : 6,294.34 = 3,721.48 : x
  2. Step 2: Convert to fraction form
    4,562.24/6,294.34 = 3,721.48/x
  3. Step 3: Cross multiply
    4,562.24x = 6,294.34 × 3,721.48
  4. Step 4: Simplify right side
    4,562.24x = 23,424,249.34
  5. Step 5: Solve for x
    x = 23,424,249.34/4,562.24
  6. Step 6: Final answer
    x = 5,134.38

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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.