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Finding the Fourth Proportional to 4,074.42, 6,109.56 and 1,991.31

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Solution

The fourth proportional to 4,074.42, 6,109.56 and 1,991.31 is: 2,985.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.42 : 6,109.56 = 1,991.31 : x
  2. Step 2: Convert to fraction form
    4,074.42/6,109.56 = 1,991.31/x
  3. Step 3: Cross multiply
    4,074.42x = 6,109.56 × 1,991.31
  4. Step 4: Simplify right side
    4,074.42x = 12,166,027.92
  5. Step 5: Solve for x
    x = 12,166,027.92/4,074.42
  6. Step 6: Final answer
    x = 2,985.95

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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.