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Finding the Fourth Proportional to 5,882.61, 8,821.61 and 2,133.50

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Solution

The fourth proportional to 5,882.61, 8,821.61 and 2,133.50 is: 3,199.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.61 : 8,821.61 = 2,133.50 : x
  2. Step 2: Convert to fraction form
    5,882.61/8,821.61 = 2,133.50/x
  3. Step 3: Cross multiply
    5,882.61x = 8,821.61 × 2,133.50
  4. Step 4: Simplify right side
    5,882.61x = 18,820,919.78
  5. Step 5: Solve for x
    x = 18,820,919.78/5,882.61
  6. Step 6: Final answer
    x = 3,199.41

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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.