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Finding the Fourth Proportional to 5,679.97, 7,836.56 and 4,002.32

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Solution

The fourth proportional to 5,679.97, 7,836.56 and 4,002.32 is: 5,521.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.97 : 7,836.56 = 4,002.32 : x
  2. Step 2: Convert to fraction form
    5,679.97/7,836.56 = 4,002.32/x
  3. Step 3: Cross multiply
    5,679.97x = 7,836.56 × 4,002.32
  4. Step 4: Simplify right side
    5,679.97x = 31,364,452.06
  5. Step 5: Solve for x
    x = 31,364,452.06/5,679.97
  6. Step 6: Final answer
    x = 5,521.94

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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.