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Finding the Fourth Proportional to 3,859.24, 5,788.12 and 1,882.89

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Solution

The fourth proportional to 3,859.24, 5,788.12 and 1,882.89 is: 2,823.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.24 : 5,788.12 = 1,882.89 : x
  2. Step 2: Convert to fraction form
    3,859.24/5,788.12 = 1,882.89/x
  3. Step 3: Cross multiply
    3,859.24x = 5,788.12 × 1,882.89
  4. Step 4: Simplify right side
    3,859.24x = 10,898,393.27
  5. Step 5: Solve for x
    x = 10,898,393.27/3,859.24
  6. Step 6: Final answer
    x = 2,823.97

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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.