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Finding the Fourth Proportional to 3,421.49, 5,125.52 and 3,049.57

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Solution

The fourth proportional to 3,421.49, 5,125.52 and 3,049.57 is: 4,568.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.49 : 5,125.52 = 3,049.57 : x
  2. Step 2: Convert to fraction form
    3,421.49/5,125.52 = 3,049.57/x
  3. Step 3: Cross multiply
    3,421.49x = 5,125.52 × 3,049.57
  4. Step 4: Simplify right side
    3,421.49x = 15,630,632.03
  5. Step 5: Solve for x
    x = 15,630,632.03/3,421.49
  6. Step 6: Final answer
    x = 4,568.37

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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.