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Finding the Fourth Proportional to 4,704.59, 7,057.83 and 1,584.47

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Solution

The fourth proportional to 4,704.59, 7,057.83 and 1,584.47 is: 2,377.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.59 : 7,057.83 = 1,584.47 : x
  2. Step 2: Convert to fraction form
    4,704.59/7,057.83 = 1,584.47/x
  3. Step 3: Cross multiply
    4,704.59x = 7,057.83 × 1,584.47
  4. Step 4: Simplify right side
    4,704.59x = 11,182,876.69
  5. Step 5: Solve for x
    x = 11,182,876.69/4,704.59
  6. Step 6: Final answer
    x = 2,377.02

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