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Finding the Fourth Proportional to 3,757.05, 5,631.82 and 1,290.20

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Solution

The fourth proportional to 3,757.05, 5,631.82 and 1,290.20 is: 1,934.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.05 : 5,631.82 = 1,290.20 : x
  2. Step 2: Convert to fraction form
    3,757.05/5,631.82 = 1,290.20/x
  3. Step 3: Cross multiply
    3,757.05x = 5,631.82 × 1,290.20
  4. Step 4: Simplify right side
    3,757.05x = 7,266,142.78
  5. Step 5: Solve for x
    x = 7,266,142.78/3,757.05
  6. Step 6: Final answer
    x = 1,934.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.