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Finding the Fourth Proportional to 4,120.27, 6,181.98 and 2,477.98

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Solution

The fourth proportional to 4,120.27, 6,181.98 and 2,477.98 is: 3,717.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120.27 : 6,181.98 = 2,477.98 : x
  2. Step 2: Convert to fraction form
    4,120.27/6,181.98 = 2,477.98/x
  3. Step 3: Cross multiply
    4,120.27x = 6,181.98 × 2,477.98
  4. Step 4: Simplify right side
    4,120.27x = 15,318,822.80
  5. Step 5: Solve for x
    x = 15,318,822.80/4,120.27
  6. Step 6: Final answer
    x = 3,717.92

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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.