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Finding the Fourth Proportional to 3,812.91, 5,723.45 and 3,376.86

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Solution

The fourth proportional to 3,812.91, 5,723.45 and 3,376.86 is: 5,068.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.91 : 5,723.45 = 3,376.86 : x
  2. Step 2: Convert to fraction form
    3,812.91/5,723.45 = 3,376.86/x
  3. Step 3: Cross multiply
    3,812.91x = 5,723.45 × 3,376.86
  4. Step 4: Simplify right side
    3,812.91x = 19,327,272.48
  5. Step 5: Solve for x
    x = 19,327,272.48/3,812.91
  6. Step 6: Final answer
    x = 5,068.90

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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.