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Finding the Fourth Proportional to 4,097.53, 6,146.34 and 1,905.67

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Solution

The fourth proportional to 4,097.53, 6,146.34 and 1,905.67 is: 2,858.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.53 : 6,146.34 = 1,905.67 : x
  2. Step 2: Convert to fraction form
    4,097.53/6,146.34 = 1,905.67/x
  3. Step 3: Cross multiply
    4,097.53x = 6,146.34 × 1,905.67
  4. Step 4: Simplify right side
    4,097.53x = 11,712,895.75
  5. Step 5: Solve for x
    x = 11,712,895.75/4,097.53
  6. Step 6: Final answer
    x = 2,858.53

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