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Finding the Fourth Proportional to 5,630.67, 8,449.01 and 3,165.67

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Solution

The fourth proportional to 5,630.67, 8,449.01 and 3,165.67 is: 4,750.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.67 : 8,449.01 = 3,165.67 : x
  2. Step 2: Convert to fraction form
    5,630.67/8,449.01 = 3,165.67/x
  3. Step 3: Cross multiply
    5,630.67x = 8,449.01 × 3,165.67
  4. Step 4: Simplify right side
    5,630.67x = 26,746,736.57
  5. Step 5: Solve for x
    x = 26,746,736.57/5,630.67
  6. Step 6: Final answer
    x = 4,750.18

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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.