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Finding the Fourth Proportional to 4,705.82, 7,057.60 and 1,585.02

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Solution

The fourth proportional to 4,705.82, 7,057.60 and 1,585.02 is: 2,377.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.82 : 7,057.60 = 1,585.02 : x
  2. Step 2: Convert to fraction form
    4,705.82/7,057.60 = 1,585.02/x
  3. Step 3: Cross multiply
    4,705.82x = 7,057.60 × 1,585.02
  4. Step 4: Simplify right side
    4,705.82x = 11,186,437.15
  5. Step 5: Solve for x
    x = 11,186,437.15/4,705.82
  6. Step 6: Final answer
    x = 2,377.15

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