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Finding the Fourth Proportional to 3,377.66, 5,063.03 and 1,297.11

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Solution

The fourth proportional to 3,377.66, 5,063.03 and 1,297.11 is: 1,944.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,377.66 : 5,063.03 = 1,297.11 : x
  2. Step 2: Convert to fraction form
    3,377.66/5,063.03 = 1,297.11/x
  3. Step 3: Cross multiply
    3,377.66x = 5,063.03 × 1,297.11
  4. Step 4: Simplify right side
    3,377.66x = 6,567,294.19
  5. Step 5: Solve for x
    x = 6,567,294.19/3,377.66
  6. Step 6: Final answer
    x = 1,944.33

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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.