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Finding the Fourth Proportional to 4,643.31, 6,964.18 and 1,523.24

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Solution

The fourth proportional to 4,643.31, 6,964.18 and 1,523.24 is: 2,284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.31 : 6,964.18 = 1,523.24 : x
  2. Step 2: Convert to fraction form
    4,643.31/6,964.18 = 1,523.24/x
  3. Step 3: Cross multiply
    4,643.31x = 6,964.18 × 1,523.24
  4. Step 4: Simplify right side
    4,643.31x = 10,608,105.03
  5. Step 5: Solve for x
    x = 10,608,105.03/4,643.31
  6. Step 6: Final answer
    x = 2,284.60

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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.