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Finding the Fourth Proportional to 3,867.26, 5,800.89 and 2,337.98

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Solution

The fourth proportional to 3,867.26, 5,800.89 and 2,337.98 is: 3,506.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.26 : 5,800.89 = 2,337.98 : x
  2. Step 2: Convert to fraction form
    3,867.26/5,800.89 = 2,337.98/x
  3. Step 3: Cross multiply
    3,867.26x = 5,800.89 × 2,337.98
  4. Step 4: Simplify right side
    3,867.26x = 13,562,364.80
  5. Step 5: Solve for x
    x = 13,562,364.80/3,867.26
  6. Step 6: Final answer
    x = 3,506.97

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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.