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Finding the Fourth Proportional to 3,484.97, 5,227.66 and 1,404.96

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Solution

The fourth proportional to 3,484.97, 5,227.66 and 1,404.96 is: 2,107.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.97 : 5,227.66 = 1,404.96 : x
  2. Step 2: Convert to fraction form
    3,484.97/5,227.66 = 1,404.96/x
  3. Step 3: Cross multiply
    3,484.97x = 5,227.66 × 1,404.96
  4. Step 4: Simplify right side
    3,484.97x = 7,344,653.19
  5. Step 5: Solve for x
    x = 7,344,653.19/3,484.97
  6. Step 6: Final answer
    x = 2,107.52

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1.5x scale

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.