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Finding the Fourth Proportional to 6,325, 8,728.62 and 3,530.68

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Solution

The fourth proportional to 6,325, 8,728.62 and 3,530.68 is: 4,872.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,325 : 8,728.62 = 3,530.68 : x
  2. Step 2: Convert to fraction form
    6,325/8,728.62 = 3,530.68/x
  3. Step 3: Cross multiply
    6,325x = 8,728.62 × 3,530.68
  4. Step 4: Simplify right side
    6,325x = 30,817,964.06
  5. Step 5: Solve for x
    x = 30,817,964.06/6,325
  6. Step 6: Final answer
    x = 4,872.41

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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.