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Finding the Fourth Proportional to 4,169.68, 5,754.38 and 2,377.22

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Solution

The fourth proportional to 4,169.68, 5,754.38 and 2,377.22 is: 3,280.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169.68 : 5,754.38 = 2,377.22 : x
  2. Step 2: Convert to fraction form
    4,169.68/5,754.38 = 2,377.22/x
  3. Step 3: Cross multiply
    4,169.68x = 5,754.38 × 2,377.22
  4. Step 4: Simplify right side
    4,169.68x = 13,679,386.57
  5. Step 5: Solve for x
    x = 13,679,386.57/4,169.68
  6. Step 6: Final answer
    x = 3,280.68

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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.