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Finding the Fourth Proportional to 3,840.58, 5,756.06 and 1,646.74

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Solution

The fourth proportional to 3,840.58, 5,756.06 and 1,646.74 is: 2,468.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.58 : 5,756.06 = 1,646.74 : x
  2. Step 2: Convert to fraction form
    3,840.58/5,756.06 = 1,646.74/x
  3. Step 3: Cross multiply
    3,840.58x = 5,756.06 × 1,646.74
  4. Step 4: Simplify right side
    3,840.58x = 9,478,734.24
  5. Step 5: Solve for x
    x = 9,478,734.24/3,840.58
  6. Step 6: Final answer
    x = 2,468.05

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