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Finding the Fourth Proportional to 3,756.52, 5,634.92 and 1,293.04

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Solution

The fourth proportional to 3,756.52, 5,634.92 and 1,293.04 is: 1,939.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.52 : 5,634.92 = 1,293.04 : x
  2. Step 2: Convert to fraction form
    3,756.52/5,634.92 = 1,293.04/x
  3. Step 3: Cross multiply
    3,756.52x = 5,634.92 × 1,293.04
  4. Step 4: Simplify right side
    3,756.52x = 7,286,176.96
  5. Step 5: Solve for x
    x = 7,286,176.96/3,756.52
  6. Step 6: Final answer
    x = 1,939.61

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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.