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Finding the Fourth Proportional to 3,797.82, 5,689.17 and 3,019.14

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Solution

The fourth proportional to 3,797.82, 5,689.17 and 3,019.14 is: 4,522.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.82 : 5,689.17 = 3,019.14 : x
  2. Step 2: Convert to fraction form
    3,797.82/5,689.17 = 3,019.14/x
  3. Step 3: Cross multiply
    3,797.82x = 5,689.17 × 3,019.14
  4. Step 4: Simplify right side
    3,797.82x = 17,176,400.71
  5. Step 5: Solve for x
    x = 17,176,400.71/3,797.82
  6. Step 6: Final answer
    x = 4,522.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.