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Finding the Fourth Proportional to 3,770.35, 5,656.43 and 1,577.86

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Solution

The fourth proportional to 3,770.35, 5,656.43 and 1,577.86 is: 2,367.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.35 : 5,656.43 = 1,577.86 : x
  2. Step 2: Convert to fraction form
    3,770.35/5,656.43 = 1,577.86/x
  3. Step 3: Cross multiply
    3,770.35x = 5,656.43 × 1,577.86
  4. Step 4: Simplify right side
    3,770.35x = 8,925,054.64
  5. Step 5: Solve for x
    x = 8,925,054.64/3,770.35
  6. Step 6: Final answer
    x = 2,367.17

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