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Finding the Fourth Proportional to 3,297.72, 4,947.32 and 1,106.39

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Solution

The fourth proportional to 3,297.72, 4,947.32 and 1,106.39 is: 1,659.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.72 : 4,947.32 = 1,106.39 : x
  2. Step 2: Convert to fraction form
    3,297.72/4,947.32 = 1,106.39/x
  3. Step 3: Cross multiply
    3,297.72x = 4,947.32 × 1,106.39
  4. Step 4: Simplify right side
    3,297.72x = 5,473,680.51
  5. Step 5: Solve for x
    x = 5,473,680.51/3,297.72
  6. Step 6: Final answer
    x = 1,659.84

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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.