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Finding the Fourth Proportional to 3,989.60, 5,984.41 and 1,216.29

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Solution

The fourth proportional to 3,989.60, 5,984.41 and 1,216.29 is: 1,824.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.60 : 5,984.41 = 1,216.29 : x
  2. Step 2: Convert to fraction form
    3,989.60/5,984.41 = 1,216.29/x
  3. Step 3: Cross multiply
    3,989.60x = 5,984.41 × 1,216.29
  4. Step 4: Simplify right side
    3,989.60x = 7,278,779.47
  5. Step 5: Solve for x
    x = 7,278,779.47/3,989.60
  6. Step 6: Final answer
    x = 1,824.44

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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.