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Finding the Fourth Proportional to 3,355.65, 5,033.54 and 1,164.44

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Solution

The fourth proportional to 3,355.65, 5,033.54 and 1,164.44 is: 1,746.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,355.65 : 5,033.54 = 1,164.44 : x
  2. Step 2: Convert to fraction form
    3,355.65/5,033.54 = 1,164.44/x
  3. Step 3: Cross multiply
    3,355.65x = 5,033.54 × 1,164.44
  4. Step 4: Simplify right side
    3,355.65x = 5,861,224.33
  5. Step 5: Solve for x
    x = 5,861,224.33/3,355.65
  6. Step 6: Final answer
    x = 1,746.67

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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.