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Finding the Fourth Proportional to 5,666.44, 8,492.47 and 3,202.65

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Solution

The fourth proportional to 5,666.44, 8,492.47 and 3,202.65 is: 4,799.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.44 : 8,492.47 = 3,202.65 : x
  2. Step 2: Convert to fraction form
    5,666.44/8,492.47 = 3,202.65/x
  3. Step 3: Cross multiply
    5,666.44x = 8,492.47 × 3,202.65
  4. Step 4: Simplify right side
    5,666.44x = 27,198,350.57
  5. Step 5: Solve for x
    x = 27,198,350.57/5,666.44
  6. Step 6: Final answer
    x = 4,799.90

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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.