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Finding the Fourth Proportional to 3,504.84, 4,837.14 and 2,107.68

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Solution

The fourth proportional to 3,504.84, 4,837.14 and 2,107.68 is: 2,908.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.84 : 4,837.14 = 2,107.68 : x
  2. Step 2: Convert to fraction form
    3,504.84/4,837.14 = 2,107.68/x
  3. Step 3: Cross multiply
    3,504.84x = 4,837.14 × 2,107.68
  4. Step 4: Simplify right side
    3,504.84x = 10,195,143.24
  5. Step 5: Solve for x
    x = 10,195,143.24/3,504.84
  6. Step 6: Final answer
    x = 2,908.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.