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Finding the Fourth Proportional to 6,464.69, 8,921.15 and 3,593.59

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Solution

The fourth proportional to 6,464.69, 8,921.15 and 3,593.59 is: 4,959.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.69 : 8,921.15 = 3,593.59 : x
  2. Step 2: Convert to fraction form
    6,464.69/8,921.15 = 3,593.59/x
  3. Step 3: Cross multiply
    6,464.69x = 8,921.15 × 3,593.59
  4. Step 4: Simplify right side
    6,464.69x = 32,058,958.78
  5. Step 5: Solve for x
    x = 32,058,958.78/6,464.69
  6. Step 6: Final answer
    x = 4,959.09

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