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Finding the Fourth Proportional to 3,806.31, 5,708.06 and 1,585.02

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Solution

The fourth proportional to 3,806.31, 5,708.06 and 1,585.02 is: 2,376.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.31 : 5,708.06 = 1,585.02 : x
  2. Step 2: Convert to fraction form
    3,806.31/5,708.06 = 1,585.02/x
  3. Step 3: Cross multiply
    3,806.31x = 5,708.06 × 1,585.02
  4. Step 4: Simplify right side
    3,806.31x = 9,047,381.34
  5. Step 5: Solve for x
    x = 9,047,381.34/3,806.31
  6. Step 6: Final answer
    x = 2,376.94

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