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Finding the Fourth Proportional to 6,464.61, 8,921.28 and 3,593.61

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Solution

The fourth proportional to 6,464.61, 8,921.28 and 3,593.61 is: 4,959.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.61 : 8,921.28 = 3,593.61 : x
  2. Step 2: Convert to fraction form
    6,464.61/8,921.28 = 3,593.61/x
  3. Step 3: Cross multiply
    6,464.61x = 8,921.28 × 3,593.61
  4. Step 4: Simplify right side
    6,464.61x = 32,059,622.05
  5. Step 5: Solve for x
    x = 32,059,622.05/6,464.61
  6. Step 6: Final answer
    x = 4,959.25

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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.