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Finding the Fourth Proportional to 5,069.72, 7,605.30 and 1,991

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Solution

The fourth proportional to 5,069.72, 7,605.30 and 1,991 is: 2,986.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,069.72 : 7,605.30 = 1,991 : x
  2. Step 2: Convert to fraction form
    5,069.72/7,605.30 = 1,991/x
  3. Step 3: Cross multiply
    5,069.72x = 7,605.30 × 1,991
  4. Step 4: Simplify right side
    5,069.72x = 15,142,152.30
  5. Step 5: Solve for x
    x = 15,142,152.30/5,069.72
  6. Step 6: Final answer
    x = 2,986.78

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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.