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Finding the Fourth Proportional to 3,734.64, 5,602.86 and 1,137.57

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Solution

The fourth proportional to 3,734.64, 5,602.86 and 1,137.57 is: 1,706.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.64 : 5,602.86 = 1,137.57 : x
  2. Step 2: Convert to fraction form
    3,734.64/5,602.86 = 1,137.57/x
  3. Step 3: Cross multiply
    3,734.64x = 5,602.86 × 1,137.57
  4. Step 4: Simplify right side
    3,734.64x = 6,373,645.45
  5. Step 5: Solve for x
    x = 6,373,645.45/3,734.64
  6. Step 6: Final answer
    x = 1,706.63

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