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Finding the Fourth Proportional to 4,372.65, 6,021.14 and 3,738.42

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Solution

The fourth proportional to 4,372.65, 6,021.14 and 3,738.42 is: 5,147.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,372.65 : 6,021.14 = 3,738.42 : x
  2. Step 2: Convert to fraction form
    4,372.65/6,021.14 = 3,738.42/x
  3. Step 3: Cross multiply
    4,372.65x = 6,021.14 × 3,738.42
  4. Step 4: Simplify right side
    4,372.65x = 22,509,531.51
  5. Step 5: Solve for x
    x = 22,509,531.51/4,372.65
  6. Step 6: Final answer
    x = 5,147.80

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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.