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Finding the Fourth Proportional to 4,616.79, 6,921.33 and 2,150.34

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Solution

The fourth proportional to 4,616.79, 6,921.33 and 2,150.34 is: 3,223.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.79 : 6,921.33 = 2,150.34 : x
  2. Step 2: Convert to fraction form
    4,616.79/6,921.33 = 2,150.34/x
  3. Step 3: Cross multiply
    4,616.79x = 6,921.33 × 2,150.34
  4. Step 4: Simplify right side
    4,616.79x = 14,883,212.75
  5. Step 5: Solve for x
    x = 14,883,212.75/4,616.79
  6. Step 6: Final answer
    x = 3,223.71

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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.