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Finding the Fourth Proportional to 5,462.24, 7,538.02 and 3,224.66

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Solution

The fourth proportional to 5,462.24, 7,538.02 and 3,224.66 is: 4,450.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.24 : 7,538.02 = 3,224.66 : x
  2. Step 2: Convert to fraction form
    5,462.24/7,538.02 = 3,224.66/x
  3. Step 3: Cross multiply
    5,462.24x = 7,538.02 × 3,224.66
  4. Step 4: Simplify right side
    5,462.24x = 24,307,551.57
  5. Step 5: Solve for x
    x = 24,307,551.57/5,462.24
  6. Step 6: Final answer
    x = 4,450.11

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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.