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Finding the Fourth Proportional to 5,696.14, 7,859.41 and 3,304.73

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Solution

The fourth proportional to 5,696.14, 7,859.41 and 3,304.73 is: 4,559.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.14 : 7,859.41 = 3,304.73 : x
  2. Step 2: Convert to fraction form
    5,696.14/7,859.41 = 3,304.73/x
  3. Step 3: Cross multiply
    5,696.14x = 7,859.41 × 3,304.73
  4. Step 4: Simplify right side
    5,696.14x = 25,973,216.42
  5. Step 5: Solve for x
    x = 25,973,216.42/5,696.14
  6. Step 6: Final answer
    x = 4,559.79

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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.