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Finding the Fourth Proportional to 4,586.96, 6,877.71 and 1,664.30

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Solution

The fourth proportional to 4,586.96, 6,877.71 and 1,664.30 is: 2,495.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,586.96 : 6,877.71 = 1,664.30 : x
  2. Step 2: Convert to fraction form
    4,586.96/6,877.71 = 1,664.30/x
  3. Step 3: Cross multiply
    4,586.96x = 6,877.71 × 1,664.30
  4. Step 4: Simplify right side
    4,586.96x = 11,446,572.75
  5. Step 5: Solve for x
    x = 11,446,572.75/4,586.96
  6. Step 6: Final answer
    x = 2,495.46

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