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Finding the Fourth Proportional to 3,935, 5,430.19 and 2,166.62

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Solution

The fourth proportional to 3,935, 5,430.19 and 2,166.62 is: 2,989.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935 : 5,430.19 = 2,166.62 : x
  2. Step 2: Convert to fraction form
    3,935/5,430.19 = 2,166.62/x
  3. Step 3: Cross multiply
    3,935x = 5,430.19 × 2,166.62
  4. Step 4: Simplify right side
    3,935x = 11,765,136.52
  5. Step 5: Solve for x
    x = 11,765,136.52/3,935
  6. Step 6: Final answer
    x = 2,989.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.