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Finding the Fourth Proportional to 5,789.84, 8,682.06 and 2,867

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Solution

The fourth proportional to 5,789.84, 8,682.06 and 2,867 is: 4,299.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.84 : 8,682.06 = 2,867 : x
  2. Step 2: Convert to fraction form
    5,789.84/8,682.06 = 2,867/x
  3. Step 3: Cross multiply
    5,789.84x = 8,682.06 × 2,867
  4. Step 4: Simplify right side
    5,789.84x = 24,891,466.02
  5. Step 5: Solve for x
    x = 24,891,466.02/5,789.84
  6. Step 6: Final answer
    x = 4,299.16

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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.