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Finding the Fourth Proportional to 3,165.25, 4,375.89 and 2,377.93

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Solution

The fourth proportional to 3,165.25, 4,375.89 and 2,377.93 is: 3,287.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.25 : 4,375.89 = 2,377.93 : x
  2. Step 2: Convert to fraction form
    3,165.25/4,375.89 = 2,377.93/x
  3. Step 3: Cross multiply
    3,165.25x = 4,375.89 × 2,377.93
  4. Step 4: Simplify right side
    3,165.25x = 10,405,560.11
  5. Step 5: Solve for x
    x = 10,405,560.11/3,165.25
  6. Step 6: Final answer
    x = 3,287.44

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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.