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Finding the Fourth Proportional to 3,694.59, 5,092.54 and 3,214.81

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Solution

The fourth proportional to 3,694.59, 5,092.54 and 3,214.81 is: 4,431.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.59 : 5,092.54 = 3,214.81 : x
  2. Step 2: Convert to fraction form
    3,694.59/5,092.54 = 3,214.81/x
  3. Step 3: Cross multiply
    3,694.59x = 5,092.54 × 3,214.81
  4. Step 4: Simplify right side
    3,694.59x = 16,371,548.52
  5. Step 5: Solve for x
    x = 16,371,548.52/3,694.59
  6. Step 6: Final answer
    x = 4,431.22

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1.5x scale

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.