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Finding the Fourth Proportional to 4,077.77, 6,114.22 and 2,763.14

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Solution

The fourth proportional to 4,077.77, 6,114.22 and 2,763.14 is: 4,143.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077.77 : 6,114.22 = 2,763.14 : x
  2. Step 2: Convert to fraction form
    4,077.77/6,114.22 = 2,763.14/x
  3. Step 3: Cross multiply
    4,077.77x = 6,114.22 × 2,763.14
  4. Step 4: Simplify right side
    4,077.77x = 16,894,408.37
  5. Step 5: Solve for x
    x = 16,894,408.37/4,077.77
  6. Step 6: Final answer
    x = 4,143.06

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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.