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Finding the Fourth Proportional to 4,249.85, 6,369.39 and 2,402

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Solution

The fourth proportional to 4,249.85, 6,369.39 and 2,402 is: 3,599.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,249.85 : 6,369.39 = 2,402 : x
  2. Step 2: Convert to fraction form
    4,249.85/6,369.39 = 2,402/x
  3. Step 3: Cross multiply
    4,249.85x = 6,369.39 × 2,402
  4. Step 4: Simplify right side
    4,249.85x = 15,299,274.78
  5. Step 5: Solve for x
    x = 15,299,274.78/4,249.85
  6. Step 6: Final answer
    x = 3,599.96

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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.