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Finding the Fourth Proportional to 4,614.39, 6,923.97 and 2,148.48

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Solution

The fourth proportional to 4,614.39, 6,923.97 and 2,148.48 is: 3,223.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.39 : 6,923.97 = 2,148.48 : x
  2. Step 2: Convert to fraction form
    4,614.39/6,923.97 = 2,148.48/x
  3. Step 3: Cross multiply
    4,614.39x = 6,923.97 × 2,148.48
  4. Step 4: Simplify right side
    4,614.39x = 14,876,011.07
  5. Step 5: Solve for x
    x = 14,876,011.07/4,614.39
  6. Step 6: Final answer
    x = 3,223.83

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