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Finding the Fourth Proportional to 4,587.60, 6,878.70 and 1,664.60

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Solution

The fourth proportional to 4,587.60, 6,878.70 and 1,664.60 is: 2,495.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,587.60 : 6,878.70 = 1,664.60 : x
  2. Step 2: Convert to fraction form
    4,587.60/6,878.70 = 1,664.60/x
  3. Step 3: Cross multiply
    4,587.60x = 6,878.70 × 1,664.60
  4. Step 4: Simplify right side
    4,587.60x = 11,450,284.02
  5. Step 5: Solve for x
    x = 11,450,284.02/4,587.60
  6. Step 6: Final answer
    x = 2,495.92

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