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Finding the Fourth Proportional to 4,127.98, 6,181.87 and 3,728.17

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Solution

The fourth proportional to 4,127.98, 6,181.87 and 3,728.17 is: 5,583.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,127.98 : 6,181.87 = 3,728.17 : x
  2. Step 2: Convert to fraction form
    4,127.98/6,181.87 = 3,728.17/x
  3. Step 3: Cross multiply
    4,127.98x = 6,181.87 × 3,728.17
  4. Step 4: Simplify right side
    4,127.98x = 23,047,062.28
  5. Step 5: Solve for x
    x = 23,047,062.28/4,127.98
  6. Step 6: Final answer
    x = 5,583.13

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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.