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Finding the Fourth Proportional to 5,821.88, 8,732.34 and 2,311.74

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Solution

The fourth proportional to 5,821.88, 8,732.34 and 2,311.74 is: 3,467.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.88 : 8,732.34 = 2,311.74 : x
  2. Step 2: Convert to fraction form
    5,821.88/8,732.34 = 2,311.74/x
  3. Step 3: Cross multiply
    5,821.88x = 8,732.34 × 2,311.74
  4. Step 4: Simplify right side
    5,821.88x = 20,186,899.67
  5. Step 5: Solve for x
    x = 20,186,899.67/5,821.88
  6. Step 6: Final answer
    x = 3,467.42

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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.