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Finding the Fourth Proportional to 5,488.05, 8,213.64 and 4,565.46

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Solution

The fourth proportional to 5,488.05, 8,213.64 and 4,565.46 is: 6,832.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.05 : 8,213.64 = 4,565.46 : x
  2. Step 2: Convert to fraction form
    5,488.05/8,213.64 = 4,565.46/x
  3. Step 3: Cross multiply
    5,488.05x = 8,213.64 × 4,565.46
  4. Step 4: Simplify right side
    5,488.05x = 37,499,044.87
  5. Step 5: Solve for x
    x = 37,499,044.87/5,488.05
  6. Step 6: Final answer
    x = 6,832.85

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