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Finding the Fourth Proportional to 4,069.89, 6,104.85 and 991.89

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Solution

The fourth proportional to 4,069.89, 6,104.85 and 991.89 is: 1,487.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,069.89 : 6,104.85 = 991.89 : x
  2. Step 2: Convert to fraction form
    4,069.89/6,104.85 = 991.89/x
  3. Step 3: Cross multiply
    4,069.89x = 6,104.85 × 991.89
  4. Step 4: Simplify right side
    4,069.89x = 6,055,339.67
  5. Step 5: Solve for x
    x = 6,055,339.67/4,069.89
  6. Step 6: Final answer
    x = 1,487.84

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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.