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Finding the Fourth Proportional to 5,834.35, 8,049.11 and 3,281.51

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Solution

The fourth proportional to 5,834.35, 8,049.11 and 3,281.51 is: 4,527.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.35 : 8,049.11 = 3,281.51 : x
  2. Step 2: Convert to fraction form
    5,834.35/8,049.11 = 3,281.51/x
  3. Step 3: Cross multiply
    5,834.35x = 8,049.11 × 3,281.51
  4. Step 4: Simplify right side
    5,834.35x = 26,413,238.67
  5. Step 5: Solve for x
    x = 26,413,238.67/5,834.35
  6. Step 6: Final answer
    x = 4,527.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.