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Finding the Fourth Proportional to 4,747.59, 7,122.06 and 1,460.96

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Solution

The fourth proportional to 4,747.59, 7,122.06 and 1,460.96 is: 2,191.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747.59 : 7,122.06 = 1,460.96 : x
  2. Step 2: Convert to fraction form
    4,747.59/7,122.06 = 1,460.96/x
  3. Step 3: Cross multiply
    4,747.59x = 7,122.06 × 1,460.96
  4. Step 4: Simplify right side
    4,747.59x = 10,405,009.17
  5. Step 5: Solve for x
    x = 10,405,009.17/4,747.59
  6. Step 6: Final answer
    x = 2,191.64

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