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Finding the Fourth Proportional to 3,588.45, 5,382.66 and 991.38

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Solution

The fourth proportional to 3,588.45, 5,382.66 and 991.38 is: 1,487.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.45 : 5,382.66 = 991.38 : x
  2. Step 2: Convert to fraction form
    3,588.45/5,382.66 = 991.38/x
  3. Step 3: Cross multiply
    3,588.45x = 5,382.66 × 991.38
  4. Step 4: Simplify right side
    3,588.45x = 5,336,234.56
  5. Step 5: Solve for x
    x = 5,336,234.56/3,588.45
  6. Step 6: Final answer
    x = 1,487.06

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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.