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Finding the Fourth Proportional to 6,464.77, 8,921.39 and 3,670.27

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Solution

The fourth proportional to 6,464.77, 8,921.39 and 3,670.27 is: 5,064.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.77 : 8,921.39 = 3,670.27 : x
  2. Step 2: Convert to fraction form
    6,464.77/8,921.39 = 3,670.27/x
  3. Step 3: Cross multiply
    6,464.77x = 8,921.39 × 3,670.27
  4. Step 4: Simplify right side
    6,464.77x = 32,743,869.42
  5. Step 5: Solve for x
    x = 32,743,869.42/6,464.77
  6. Step 6: Final answer
    x = 5,064.97

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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.