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Finding the Fourth Proportional to 3,993.47, 5,990.63 and 1,530.38

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Solution

The fourth proportional to 3,993.47, 5,990.63 and 1,530.38 is: 2,295.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.47 : 5,990.63 = 1,530.38 : x
  2. Step 2: Convert to fraction form
    3,993.47/5,990.63 = 1,530.38/x
  3. Step 3: Cross multiply
    3,993.47x = 5,990.63 × 1,530.38
  4. Step 4: Simplify right side
    3,993.47x = 9,167,902.73
  5. Step 5: Solve for x
    x = 9,167,902.73/3,993.47
  6. Step 6: Final answer
    x = 2,295.72

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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.