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Finding the Fourth Proportional to 4,145.49, 5,720.90 and 2,377.44

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Solution

The fourth proportional to 4,145.49, 5,720.90 and 2,377.44 is: 3,280.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.49 : 5,720.90 = 2,377.44 : x
  2. Step 2: Convert to fraction form
    4,145.49/5,720.90 = 2,377.44/x
  3. Step 3: Cross multiply
    4,145.49x = 5,720.90 × 2,377.44
  4. Step 4: Simplify right side
    4,145.49x = 13,601,084.61
  5. Step 5: Solve for x
    x = 13,601,084.61/4,145.49
  6. Step 6: Final answer
    x = 3,280.94

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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.