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Finding the Fourth Proportional to 4,049.53, 6,074.29 and 3,126.43

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Solution

The fourth proportional to 4,049.53, 6,074.29 and 3,126.43 is: 4,689.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,049.53 : 6,074.29 = 3,126.43 : x
  2. Step 2: Convert to fraction form
    4,049.53/6,074.29 = 3,126.43/x
  3. Step 3: Cross multiply
    4,049.53x = 6,074.29 × 3,126.43
  4. Step 4: Simplify right side
    4,049.53x = 18,990,826.85
  5. Step 5: Solve for x
    x = 18,990,826.85/4,049.53
  6. Step 6: Final answer
    x = 4,689.64

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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.