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Finding the Fourth Proportional to 3,998.70, 5,998.20 and 1,077.08

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Solution

The fourth proportional to 3,998.70, 5,998.20 and 1,077.08 is: 1,615.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.70 : 5,998.20 = 1,077.08 : x
  2. Step 2: Convert to fraction form
    3,998.70/5,998.20 = 1,077.08/x
  3. Step 3: Cross multiply
    3,998.70x = 5,998.20 × 1,077.08
  4. Step 4: Simplify right side
    3,998.70x = 6,460,511.27
  5. Step 5: Solve for x
    x = 6,460,511.27/3,998.70
  6. Step 6: Final answer
    x = 1,615.65

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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.