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Finding the Fourth Proportional to 4,097.84, 6,143.56 and 1,906.28

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Solution

The fourth proportional to 4,097.84, 6,143.56 and 1,906.28 is: 2,857.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.84 : 6,143.56 = 1,906.28 : x
  2. Step 2: Convert to fraction form
    4,097.84/6,143.56 = 1,906.28/x
  3. Step 3: Cross multiply
    4,097.84x = 6,143.56 × 1,906.28
  4. Step 4: Simplify right side
    4,097.84x = 11,711,310.07
  5. Step 5: Solve for x
    x = 11,711,310.07/4,097.84
  6. Step 6: Final answer
    x = 2,857.93

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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.