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Finding the Fourth Proportional to 3,993.64, 5,988.47 and 2,328.33

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Solution

The fourth proportional to 3,993.64, 5,988.47 and 2,328.33 is: 3,491.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.64 : 5,988.47 = 2,328.33 : x
  2. Step 2: Convert to fraction form
    3,993.64/5,988.47 = 2,328.33/x
  3. Step 3: Cross multiply
    3,993.64x = 5,988.47 × 2,328.33
  4. Step 4: Simplify right side
    3,993.64x = 13,943,092.77
  5. Step 5: Solve for x
    x = 13,943,092.77/3,993.64
  6. Step 6: Final answer
    x = 3,491.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.