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Finding the Fourth Proportional to 3,346.40, 5,021.40 and 2,861.66

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Solution

The fourth proportional to 3,346.40, 5,021.40 and 2,861.66 is: 4,294.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,346.40 : 5,021.40 = 2,861.66 : x
  2. Step 2: Convert to fraction form
    3,346.40/5,021.40 = 2,861.66/x
  3. Step 3: Cross multiply
    3,346.40x = 5,021.40 × 2,861.66
  4. Step 4: Simplify right side
    3,346.40x = 14,369,539.52
  5. Step 5: Solve for x
    x = 14,369,539.52/3,346.40
  6. Step 6: Final answer
    x = 4,294.03

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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.