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Finding the Fourth Proportional to 3,462.99, 5,190.64 and 2,638.55

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Solution

The fourth proportional to 3,462.99, 5,190.64 and 2,638.55 is: 3,954.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.99 : 5,190.64 = 2,638.55 : x
  2. Step 2: Convert to fraction form
    3,462.99/5,190.64 = 2,638.55/x
  3. Step 3: Cross multiply
    3,462.99x = 5,190.64 × 2,638.55
  4. Step 4: Simplify right side
    3,462.99x = 13,695,730.62
  5. Step 5: Solve for x
    x = 13,695,730.62/3,462.99
  6. Step 6: Final answer
    x = 3,954.89

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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.