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Finding the Fourth Proportional to 5,220.92, 7,790.90 and 4,667

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Solution

The fourth proportional to 5,220.92, 7,790.90 and 4,667 is: 6,964.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220.92 : 7,790.90 = 4,667 : x
  2. Step 2: Convert to fraction form
    5,220.92/7,790.90 = 4,667/x
  3. Step 3: Cross multiply
    5,220.92x = 7,790.90 × 4,667
  4. Step 4: Simplify right side
    5,220.92x = 36,360,130.30
  5. Step 5: Solve for x
    x = 36,360,130.30/5,220.92
  6. Step 6: Final answer
    x = 6,964.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.