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Finding the Fourth Proportional to 3,065.90, 4,599.31 and 1,584.66

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Solution

The fourth proportional to 3,065.90, 4,599.31 and 1,584.66 is: 2,377.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.90 : 4,599.31 = 1,584.66 : x
  2. Step 2: Convert to fraction form
    3,065.90/4,599.31 = 1,584.66/x
  3. Step 3: Cross multiply
    3,065.90x = 4,599.31 × 1,584.66
  4. Step 4: Simplify right side
    3,065.90x = 7,288,354.38
  5. Step 5: Solve for x
    x = 7,288,354.38/3,065.90
  6. Step 6: Final answer
    x = 2,377.23

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