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Finding the Fourth Proportional to 3,993.41, 5,989.80 and 1,652.81

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Solution

The fourth proportional to 3,993.41, 5,989.80 and 1,652.81 is: 2,479.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.41 : 5,989.80 = 1,652.81 : x
  2. Step 2: Convert to fraction form
    3,993.41/5,989.80 = 1,652.81/x
  3. Step 3: Cross multiply
    3,993.41x = 5,989.80 × 1,652.81
  4. Step 4: Simplify right side
    3,993.41x = 9,899,971.39
  5. Step 5: Solve for x
    x = 9,899,971.39/3,993.41
  6. Step 6: Final answer
    x = 2,479.08

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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.