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Finding the Fourth Proportional to 4,614.76, 6,923.70 and 2,019.40

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Solution

The fourth proportional to 4,614.76, 6,923.70 and 2,019.40 is: 3,029.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.76 : 6,923.70 = 2,019.40 : x
  2. Step 2: Convert to fraction form
    4,614.76/6,923.70 = 2,019.40/x
  3. Step 3: Cross multiply
    4,614.76x = 6,923.70 × 2,019.40
  4. Step 4: Simplify right side
    4,614.76x = 13,981,719.78
  5. Step 5: Solve for x
    x = 13,981,719.78/4,614.76
  6. Step 6: Final answer
    x = 3,029.78

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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.