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Finding the Fourth Proportional to 3,300.64, 4,951.99 and 1,109.46

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Solution

The fourth proportional to 3,300.64, 4,951.99 and 1,109.46 is: 1,664.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,300.64 : 4,951.99 = 1,109.46 : x
  2. Step 2: Convert to fraction form
    3,300.64/4,951.99 = 1,109.46/x
  3. Step 3: Cross multiply
    3,300.64x = 4,951.99 × 1,109.46
  4. Step 4: Simplify right side
    3,300.64x = 5,494,034.83
  5. Step 5: Solve for x
    x = 5,494,034.83/3,300.64
  6. Step 6: Final answer
    x = 1,664.54

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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.