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Finding the Fourth Proportional to 3,300.96, 4,947.12 and 1,352.64

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Solution

The fourth proportional to 3,300.96, 4,947.12 and 1,352.64 is: 2,027.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,300.96 : 4,947.12 = 1,352.64 : x
  2. Step 2: Convert to fraction form
    3,300.96/4,947.12 = 1,352.64/x
  3. Step 3: Cross multiply
    3,300.96x = 4,947.12 × 1,352.64
  4. Step 4: Simplify right side
    3,300.96x = 6,691,672.40
  5. Step 5: Solve for x
    x = 6,691,672.40/3,300.96
  6. Step 6: Final answer
    x = 2,027.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.