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Finding the Fourth Proportional to 4,642.88, 6,964.97 and 1,523.12

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Solution

The fourth proportional to 4,642.88, 6,964.97 and 1,523.12 is: 2,284.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.88 : 6,964.97 = 1,523.12 : x
  2. Step 2: Convert to fraction form
    4,642.88/6,964.97 = 1,523.12/x
  3. Step 3: Cross multiply
    4,642.88x = 6,964.97 × 1,523.12
  4. Step 4: Simplify right side
    4,642.88x = 10,608,514.28
  5. Step 5: Solve for x
    x = 10,608,514.28/4,642.88
  6. Step 6: Final answer
    x = 2,284.90

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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.