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Finding the Fourth Proportional to 4,099.80, 6,143.40 and 3,054.90

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Solution

The fourth proportional to 4,099.80, 6,143.40 and 3,054.90 is: 4,577.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.80 : 6,143.40 = 3,054.90 : x
  2. Step 2: Convert to fraction form
    4,099.80/6,143.40 = 3,054.90/x
  3. Step 3: Cross multiply
    4,099.80x = 6,143.40 × 3,054.90
  4. Step 4: Simplify right side
    4,099.80x = 18,767,472.66
  5. Step 5: Solve for x
    x = 18,767,472.66/4,099.80
  6. Step 6: Final answer
    x = 4,577.66

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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.