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Finding the Fourth Proportional to 3,879.83, 5,823.10 and 2,032.24

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Solution

The fourth proportional to 3,879.83, 5,823.10 and 2,032.24 is: 3,050.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.83 : 5,823.10 = 2,032.24 : x
  2. Step 2: Convert to fraction form
    3,879.83/5,823.10 = 2,032.24/x
  3. Step 3: Cross multiply
    3,879.83x = 5,823.10 × 2,032.24
  4. Step 4: Simplify right side
    3,879.83x = 11,833,936.74
  5. Step 5: Solve for x
    x = 11,833,936.74/3,879.83
  6. Step 6: Final answer
    x = 3,050.12

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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.