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Finding the Fourth Proportional to 4,978.58, 6,871.11 and 2,882.84

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Solution

The fourth proportional to 4,978.58, 6,871.11 and 2,882.84 is: 3,978.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.58 : 6,871.11 = 2,882.84 : x
  2. Step 2: Convert to fraction form
    4,978.58/6,871.11 = 2,882.84/x
  3. Step 3: Cross multiply
    4,978.58x = 6,871.11 × 2,882.84
  4. Step 4: Simplify right side
    4,978.58x = 19,808,310.75
  5. Step 5: Solve for x
    x = 19,808,310.75/4,978.58
  6. Step 6: Final answer
    x = 3,978.71

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1.5x scale

Why These Related Problems?

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