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Finding the Fourth Proportional to 3,758.61, 5,638.46 and 1,161.75

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Solution

The fourth proportional to 3,758.61, 5,638.46 and 1,161.75 is: 1,742.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.61 : 5,638.46 = 1,161.75 : x
  2. Step 2: Convert to fraction form
    3,758.61/5,638.46 = 1,161.75/x
  3. Step 3: Cross multiply
    3,758.61x = 5,638.46 × 1,161.75
  4. Step 4: Simplify right side
    3,758.61x = 6,550,475.10
  5. Step 5: Solve for x
    x = 6,550,475.10/3,758.61
  6. Step 6: Final answer
    x = 1,742.79

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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.