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Finding the Fourth Proportional to 5,185.95, 7,772.78 and 2,990.15

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Solution

The fourth proportional to 5,185.95, 7,772.78 and 2,990.15 is: 4,481.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.95 : 7,772.78 = 2,990.15 : x
  2. Step 2: Convert to fraction form
    5,185.95/7,772.78 = 2,990.15/x
  3. Step 3: Cross multiply
    5,185.95x = 7,772.78 × 2,990.15
  4. Step 4: Simplify right side
    5,185.95x = 23,241,724.30
  5. Step 5: Solve for x
    x = 23,241,724.30/5,185.95
  6. Step 6: Final answer
    x = 4,481.67

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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.