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Finding the Fourth Proportional to 4,666.47, 6,999.68 and 1,546.48

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Solution

The fourth proportional to 4,666.47, 6,999.68 and 1,546.48 is: 2,319.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.47 : 6,999.68 = 1,546.48 : x
  2. Step 2: Convert to fraction form
    4,666.47/6,999.68 = 1,546.48/x
  3. Step 3: Cross multiply
    4,666.47x = 6,999.68 × 1,546.48
  4. Step 4: Simplify right side
    4,666.47x = 10,824,865.13
  5. Step 5: Solve for x
    x = 10,824,865.13/4,666.47
  6. Step 6: Final answer
    x = 2,319.71

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