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Finding the Fourth Proportional to 3,874.50, 5,812.90 and 2,232.23

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Solution

The fourth proportional to 3,874.50, 5,812.90 and 2,232.23 is: 3,349.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.50 : 5,812.90 = 2,232.23 : x
  2. Step 2: Convert to fraction form
    3,874.50/5,812.90 = 2,232.23/x
  3. Step 3: Cross multiply
    3,874.50x = 5,812.90 × 2,232.23
  4. Step 4: Simplify right side
    3,874.50x = 12,975,695.12
  5. Step 5: Solve for x
    x = 12,975,695.12/3,874.50
  6. Step 6: Final answer
    x = 3,349.00

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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.