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Finding the Fourth Proportional to 4,587.91, 6,877.72 and 1,664.16

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Solution

The fourth proportional to 4,587.91, 6,877.72 and 1,664.16 is: 2,494.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,587.91 : 6,877.72 = 1,664.16 : x
  2. Step 2: Convert to fraction form
    4,587.91/6,877.72 = 1,664.16/x
  3. Step 3: Cross multiply
    4,587.91x = 6,877.72 × 1,664.16
  4. Step 4: Simplify right side
    4,587.91x = 11,445,602.80
  5. Step 5: Solve for x
    x = 11,445,602.80/4,587.91
  6. Step 6: Final answer
    x = 2,494.73

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