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Finding the Fourth Proportional to 3,662.20, 5,491.68 and 1,065.34

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Solution

The fourth proportional to 3,662.20, 5,491.68 and 1,065.34 is: 1,597.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.20 : 5,491.68 = 1,065.34 : x
  2. Step 2: Convert to fraction form
    3,662.20/5,491.68 = 1,065.34/x
  3. Step 3: Cross multiply
    3,662.20x = 5,491.68 × 1,065.34
  4. Step 4: Simplify right side
    3,662.20x = 5,850,506.37
  5. Step 5: Solve for x
    x = 5,850,506.37/3,662.20
  6. Step 6: Final answer
    x = 1,597.54

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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.