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Finding the Fourth Proportional to 4,747.68, 7,122.60 and 1,460.76

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Solution

The fourth proportional to 4,747.68, 7,122.60 and 1,460.76 is: 2,191.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747.68 : 7,122.60 = 1,460.76 : x
  2. Step 2: Convert to fraction form
    4,747.68/7,122.60 = 1,460.76/x
  3. Step 3: Cross multiply
    4,747.68x = 7,122.60 × 1,460.76
  4. Step 4: Simplify right side
    4,747.68x = 10,404,409.18
  5. Step 5: Solve for x
    x = 10,404,409.18/4,747.68
  6. Step 6: Final answer
    x = 2,191.47

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