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Finding the Fourth Proportional to 5,842.49, 8,758.51 and 2,143.86

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Solution

The fourth proportional to 5,842.49, 8,758.51 and 2,143.86 is: 3,213.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.49 : 8,758.51 = 2,143.86 : x
  2. Step 2: Convert to fraction form
    5,842.49/8,758.51 = 2,143.86/x
  3. Step 3: Cross multiply
    5,842.49x = 8,758.51 × 2,143.86
  4. Step 4: Simplify right side
    5,842.49x = 18,776,981.04
  5. Step 5: Solve for x
    x = 18,776,981.04/5,842.49
  6. Step 6: Final answer
    x = 3,213.87

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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.