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Finding the Fourth Proportional to 5,488.95, 8,233.24 and 2,201.16

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Solution

The fourth proportional to 5,488.95, 8,233.24 and 2,201.16 is: 3,301.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.95 : 8,233.24 = 2,201.16 : x
  2. Step 2: Convert to fraction form
    5,488.95/8,233.24 = 2,201.16/x
  3. Step 3: Cross multiply
    5,488.95x = 8,233.24 × 2,201.16
  4. Step 4: Simplify right side
    5,488.95x = 18,122,678.56
  5. Step 5: Solve for x
    x = 18,122,678.56/5,488.95
  6. Step 6: Final answer
    x = 3,301.67

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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.