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Finding the Fourth Proportional to 4,705.52, 7,057.13 and 1,584.71

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Solution

The fourth proportional to 4,705.52, 7,057.13 and 1,584.71 is: 2,376.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.52 : 7,057.13 = 1,584.71 : x
  2. Step 2: Convert to fraction form
    4,705.52/7,057.13 = 1,584.71/x
  3. Step 3: Cross multiply
    4,705.52x = 7,057.13 × 1,584.71
  4. Step 4: Simplify right side
    4,705.52x = 11,183,487.74
  5. Step 5: Solve for x
    x = 11,183,487.74/4,705.52
  6. Step 6: Final answer
    x = 2,376.68

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