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Finding the Fourth Proportional to 5,205.30, 7,182.22 and 3,079.77

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Solution

The fourth proportional to 5,205.30, 7,182.22 and 3,079.77 is: 4,249.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.30 : 7,182.22 = 3,079.77 : x
  2. Step 2: Convert to fraction form
    5,205.30/7,182.22 = 3,079.77/x
  3. Step 3: Cross multiply
    5,205.30x = 7,182.22 × 3,079.77
  4. Step 4: Simplify right side
    5,205.30x = 22,119,585.69
  5. Step 5: Solve for x
    x = 22,119,585.69/5,205.30
  6. Step 6: Final answer
    x = 4,249.44

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