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Finding the Fourth Proportional to 3,476.70, 4,797.83 and 1,904.78

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Solution

The fourth proportional to 3,476.70, 4,797.83 and 1,904.78 is: 2,628.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.70 : 4,797.83 = 1,904.78 : x
  2. Step 2: Convert to fraction form
    3,476.70/4,797.83 = 1,904.78/x
  3. Step 3: Cross multiply
    3,476.70x = 4,797.83 × 1,904.78
  4. Step 4: Simplify right side
    3,476.70x = 9,138,827.38
  5. Step 5: Solve for x
    x = 9,138,827.38/3,476.70
  6. Step 6: Final answer
    x = 2,628.59

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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.