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Finding the Fourth Proportional to 5,494, 8,233.50 and 2,530.72

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Solution

The fourth proportional to 5,494, 8,233.50 and 2,530.72 is: 3,792.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494 : 8,233.50 = 2,530.72 : x
  2. Step 2: Convert to fraction form
    5,494/8,233.50 = 2,530.72/x
  3. Step 3: Cross multiply
    5,494x = 8,233.50 × 2,530.72
  4. Step 4: Simplify right side
    5,494x = 20,836,683.12
  5. Step 5: Solve for x
    x = 20,836,683.12/5,494
  6. Step 6: Final answer
    x = 3,792.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.