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Finding the Fourth Proportional to 5,616.70, 8,423.22 and 1,867.47

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Solution

The fourth proportional to 5,616.70, 8,423.22 and 1,867.47 is: 2,800.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.70 : 8,423.22 = 1,867.47 : x
  2. Step 2: Convert to fraction form
    5,616.70/8,423.22 = 1,867.47/x
  3. Step 3: Cross multiply
    5,616.70x = 8,423.22 × 1,867.47
  4. Step 4: Simplify right side
    5,616.70x = 15,730,110.65
  5. Step 5: Solve for x
    x = 15,730,110.65/5,616.70
  6. Step 6: Final answer
    x = 2,800.60

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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.