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Finding the Fourth Proportional to 3,476.82, 4,797.81 and 1,904.64

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Solution

The fourth proportional to 3,476.82, 4,797.81 and 1,904.64 is: 2,628.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.82 : 4,797.81 = 1,904.64 : x
  2. Step 2: Convert to fraction form
    3,476.82/4,797.81 = 1,904.64/x
  3. Step 3: Cross multiply
    3,476.82x = 4,797.81 × 1,904.64
  4. Step 4: Simplify right side
    3,476.82x = 9,138,100.84
  5. Step 5: Solve for x
    x = 9,138,100.84/3,476.82
  6. Step 6: Final answer
    x = 2,628.29

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Why These Related Problems?

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