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Finding the Fourth Proportional to 5,368.69, 7,414.43 and 3,694.42

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Solution

The fourth proportional to 5,368.69, 7,414.43 and 3,694.42 is: 5,102.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,368.69 : 7,414.43 = 3,694.42 : x
  2. Step 2: Convert to fraction form
    5,368.69/7,414.43 = 3,694.42/x
  3. Step 3: Cross multiply
    5,368.69x = 7,414.43 × 3,694.42
  4. Step 4: Simplify right side
    5,368.69x = 27,392,009.28
  5. Step 5: Solve for x
    x = 27,392,009.28/5,368.69
  6. Step 6: Final answer
    x = 5,102.18

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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.