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Finding the Fourth Proportional to 4,074.44, 6,109.61 and 1,991.32

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Solution

The fourth proportional to 4,074.44, 6,109.61 and 1,991.32 is: 2,985.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.44 : 6,109.61 = 1,991.32 : x
  2. Step 2: Convert to fraction form
    4,074.44/6,109.61 = 1,991.32/x
  3. Step 3: Cross multiply
    4,074.44x = 6,109.61 × 1,991.32
  4. Step 4: Simplify right side
    4,074.44x = 12,166,188.59
  5. Step 5: Solve for x
    x = 12,166,188.59/4,074.44
  6. Step 6: Final answer
    x = 2,985.98

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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.