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Finding the Fourth Proportional to 4,617.14, 6,923.27 and 2,019.47

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Solution

The fourth proportional to 4,617.14, 6,923.27 and 2,019.47 is: 3,028.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.14 : 6,923.27 = 2,019.47 : x
  2. Step 2: Convert to fraction form
    4,617.14/6,923.27 = 2,019.47/x
  3. Step 3: Cross multiply
    4,617.14x = 6,923.27 × 2,019.47
  4. Step 4: Simplify right side
    4,617.14x = 13,981,306.50
  5. Step 5: Solve for x
    x = 13,981,306.50/4,617.14
  6. Step 6: Final answer
    x = 3,028.13

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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.