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Finding the Fourth Proportional to 3,471.63, 4,793.09 and 3,097.97

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Solution

The fourth proportional to 3,471.63, 4,793.09 and 3,097.97 is: 4,277.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.63 : 4,793.09 = 3,097.97 : x
  2. Step 2: Convert to fraction form
    3,471.63/4,793.09 = 3,097.97/x
  3. Step 3: Cross multiply
    3,471.63x = 4,793.09 × 3,097.97
  4. Step 4: Simplify right side
    3,471.63x = 14,848,827.55
  5. Step 5: Solve for x
    x = 14,848,827.55/3,471.63
  6. Step 6: Final answer
    x = 4,277.19

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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.