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Finding the Fourth Proportional to 4,694.79, 6,471.38 and 3,698.76

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Solution

The fourth proportional to 4,694.79, 6,471.38 and 3,698.76 is: 5,098.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.79 : 6,471.38 = 3,698.76 : x
  2. Step 2: Convert to fraction form
    4,694.79/6,471.38 = 3,698.76/x
  3. Step 3: Cross multiply
    4,694.79x = 6,471.38 × 3,698.76
  4. Step 4: Simplify right side
    4,694.79x = 23,936,063.00
  5. Step 5: Solve for x
    x = 23,936,063.00/4,694.79
  6. Step 6: Final answer
    x = 5,098.43

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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.