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Finding the Fourth Proportional to 3,757.34, 5,633.64 and 1,291.94

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Solution

The fourth proportional to 3,757.34, 5,633.64 and 1,291.94 is: 1,937.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.34 : 5,633.64 = 1,291.94 : x
  2. Step 2: Convert to fraction form
    3,757.34/5,633.64 = 1,291.94/x
  3. Step 3: Cross multiply
    3,757.34x = 5,633.64 × 1,291.94
  4. Step 4: Simplify right side
    3,757.34x = 7,278,324.86
  5. Step 5: Solve for x
    x = 7,278,324.86/3,757.34
  6. Step 6: Final answer
    x = 1,937.10

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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.