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Finding the Fourth Proportional to 3,753.84, 5,180.32 and 2,052.38

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Solution

The fourth proportional to 3,753.84, 5,180.32 and 2,052.38 is: 2,832.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.84 : 5,180.32 = 2,052.38 : x
  2. Step 2: Convert to fraction form
    3,753.84/5,180.32 = 2,052.38/x
  3. Step 3: Cross multiply
    3,753.84x = 5,180.32 × 2,052.38
  4. Step 4: Simplify right side
    3,753.84x = 10,631,985.16
  5. Step 5: Solve for x
    x = 10,631,985.16/3,753.84
  6. Step 6: Final answer
    x = 2,832.30

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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.