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Finding the Fourth Proportional to 3,460.96, 5,192.16 and 1,269.60

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Solution

The fourth proportional to 3,460.96, 5,192.16 and 1,269.60 is: 1,904.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.96 : 5,192.16 = 1,269.60 : x
  2. Step 2: Convert to fraction form
    3,460.96/5,192.16 = 1,269.60/x
  3. Step 3: Cross multiply
    3,460.96x = 5,192.16 × 1,269.60
  4. Step 4: Simplify right side
    3,460.96x = 6,591,966.34
  5. Step 5: Solve for x
    x = 6,591,966.34/3,460.96
  6. Step 6: Final answer
    x = 1,904.66

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