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Finding the Fourth Proportional to 5,441.67, 8,165.70 and 2,363.67

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Solution

The fourth proportional to 5,441.67, 8,165.70 and 2,363.67 is: 3,546.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,441.67 : 8,165.70 = 2,363.67 : x
  2. Step 2: Convert to fraction form
    5,441.67/8,165.70 = 2,363.67/x
  3. Step 3: Cross multiply
    5,441.67x = 8,165.70 × 2,363.67
  4. Step 4: Simplify right side
    5,441.67x = 19,301,020.12
  5. Step 5: Solve for x
    x = 19,301,020.12/5,441.67
  6. Step 6: Final answer
    x = 3,546.89

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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.