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Finding the Fourth Proportional to 3,757.80, 5,186.88 and 2,431.47

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Solution

The fourth proportional to 3,757.80, 5,186.88 and 2,431.47 is: 3,356.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.80 : 5,186.88 = 2,431.47 : x
  2. Step 2: Convert to fraction form
    3,757.80/5,186.88 = 2,431.47/x
  3. Step 3: Cross multiply
    3,757.80x = 5,186.88 × 2,431.47
  4. Step 4: Simplify right side
    3,757.80x = 12,611,743.11
  5. Step 5: Solve for x
    x = 12,611,743.11/3,757.80
  6. Step 6: Final answer
    x = 3,356.15

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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.