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Finding the Fourth Proportional to 5,188.95, 7,777.28 and 2,993.15

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Solution

The fourth proportional to 5,188.95, 7,777.28 and 2,993.15 is: 4,486.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.95 : 7,777.28 = 2,993.15 : x
  2. Step 2: Convert to fraction form
    5,188.95/7,777.28 = 2,993.15/x
  3. Step 3: Cross multiply
    5,188.95x = 7,777.28 × 2,993.15
  4. Step 4: Simplify right side
    5,188.95x = 23,278,511.78
  5. Step 5: Solve for x
    x = 23,278,511.78/5,188.95
  6. Step 6: Final answer
    x = 4,486.17

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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.