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Finding the Fourth Proportional to 5,305.53, 7,321.68 and 3,067.77

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Solution

The fourth proportional to 5,305.53, 7,321.68 and 3,067.77 is: 4,233.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.53 : 7,321.68 = 3,067.77 : x
  2. Step 2: Convert to fraction form
    5,305.53/7,321.68 = 3,067.77/x
  3. Step 3: Cross multiply
    5,305.53x = 7,321.68 × 3,067.77
  4. Step 4: Simplify right side
    5,305.53x = 22,461,230.25
  5. Step 5: Solve for x
    x = 22,461,230.25/5,305.53
  6. Step 6: Final answer
    x = 4,233.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.