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Finding the Fourth Proportional to 3,657.16, 5,046.84 and 1,978.53

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Solution

The fourth proportional to 3,657.16, 5,046.84 and 1,978.53 is: 2,730.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.16 : 5,046.84 = 1,978.53 : x
  2. Step 2: Convert to fraction form
    3,657.16/5,046.84 = 1,978.53/x
  3. Step 3: Cross multiply
    3,657.16x = 5,046.84 × 1,978.53
  4. Step 4: Simplify right side
    3,657.16x = 9,985,333.73
  5. Step 5: Solve for x
    x = 9,985,333.73/3,657.16
  6. Step 6: Final answer
    x = 2,730.35

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