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Finding the Fourth Proportional to 3,471.44, 5,205.93 and 1,005.75

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Solution

The fourth proportional to 3,471.44, 5,205.93 and 1,005.75 is: 1,508.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.44 : 5,205.93 = 1,005.75 : x
  2. Step 2: Convert to fraction form
    3,471.44/5,205.93 = 1,005.75/x
  3. Step 3: Cross multiply
    3,471.44x = 5,205.93 × 1,005.75
  4. Step 4: Simplify right side
    3,471.44x = 5,235,859.07
  5. Step 5: Solve for x
    x = 5,235,859.07/3,471.44
  6. Step 6: Final answer
    x = 1,508.27

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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.