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Finding the Fourth Proportional to 3,427.82, 5,142.87 and 1,088.21

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Solution

The fourth proportional to 3,427.82, 5,142.87 and 1,088.21 is: 1,632.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.82 : 5,142.87 = 1,088.21 : x
  2. Step 2: Convert to fraction form
    3,427.82/5,142.87 = 1,088.21/x
  3. Step 3: Cross multiply
    3,427.82x = 5,142.87 × 1,088.21
  4. Step 4: Simplify right side
    3,427.82x = 5,596,496.85
  5. Step 5: Solve for x
    x = 5,596,496.85/3,427.82
  6. Step 6: Final answer
    x = 1,632.67

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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.