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Finding the Fourth Proportional to 3,881.17, 5,821.77 and 2,032.83

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Solution

The fourth proportional to 3,881.17, 5,821.77 and 2,032.83 is: 3,049.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.17 : 5,821.77 = 2,032.83 : x
  2. Step 2: Convert to fraction form
    3,881.17/5,821.77 = 2,032.83/x
  3. Step 3: Cross multiply
    3,881.17x = 5,821.77 × 2,032.83
  4. Step 4: Simplify right side
    3,881.17x = 11,834,668.71
  5. Step 5: Solve for x
    x = 11,834,668.71/3,881.17
  6. Step 6: Final answer
    x = 3,049.25

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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.