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Finding the Fourth Proportional to 4,562.84, 6,839.47 and 2,586.01

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Solution

The fourth proportional to 4,562.84, 6,839.47 and 2,586.01 is: 3,876.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.84 : 6,839.47 = 2,586.01 : x
  2. Step 2: Convert to fraction form
    4,562.84/6,839.47 = 2,586.01/x
  3. Step 3: Cross multiply
    4,562.84x = 6,839.47 × 2,586.01
  4. Step 4: Simplify right side
    4,562.84x = 17,686,937.81
  5. Step 5: Solve for x
    x = 17,686,937.81/4,562.84
  6. Step 6: Final answer
    x = 3,876.30

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