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Finding the Fourth Proportional to 4,144.62, 5,720.40 and 2,377.42

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Solution

The fourth proportional to 4,144.62, 5,720.40 and 2,377.42 is: 3,281.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,144.62 : 5,720.40 = 2,377.42 : x
  2. Step 2: Convert to fraction form
    4,144.62/5,720.40 = 2,377.42/x
  3. Step 3: Cross multiply
    4,144.62x = 5,720.40 × 2,377.42
  4. Step 4: Simplify right side
    4,144.62x = 13,599,793.37
  5. Step 5: Solve for x
    x = 13,599,793.37/4,144.62
  6. Step 6: Final answer
    x = 3,281.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.