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Finding the Fourth Proportional to 3,471.61, 4,793.05 and 3,097.94

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Solution

The fourth proportional to 3,471.61, 4,793.05 and 3,097.94 is: 4,277.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.61 : 4,793.05 = 3,097.94 : x
  2. Step 2: Convert to fraction form
    3,471.61/4,793.05 = 3,097.94/x
  3. Step 3: Cross multiply
    3,471.61x = 4,793.05 × 3,097.94
  4. Step 4: Simplify right side
    3,471.61x = 14,848,606.02
  5. Step 5: Solve for x
    x = 14,848,606.02/3,471.61
  6. Step 6: Final answer
    x = 4,277.16

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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.