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Finding the Fourth Proportional to 3,407.82, 4,698.46 and 2,286.99

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Solution

The fourth proportional to 3,407.82, 4,698.46 and 2,286.99 is: 3,153.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.82 : 4,698.46 = 2,286.99 : x
  2. Step 2: Convert to fraction form
    3,407.82/4,698.46 = 2,286.99/x
  3. Step 3: Cross multiply
    3,407.82x = 4,698.46 × 2,286.99
  4. Step 4: Simplify right side
    3,407.82x = 10,745,331.04
  5. Step 5: Solve for x
    x = 10,745,331.04/3,407.82
  6. Step 6: Final answer
    x = 3,153.14

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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.