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Finding the Fourth Proportional to 3,764.16, 5,646.51 and 1,166.76

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Solution

The fourth proportional to 3,764.16, 5,646.51 and 1,166.76 is: 1,750.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.16 : 5,646.51 = 1,166.76 : x
  2. Step 2: Convert to fraction form
    3,764.16/5,646.51 = 1,166.76/x
  3. Step 3: Cross multiply
    3,764.16x = 5,646.51 × 1,166.76
  4. Step 4: Simplify right side
    3,764.16x = 6,588,122.01
  5. Step 5: Solve for x
    x = 6,588,122.01/3,764.16
  6. Step 6: Final answer
    x = 1,750.22

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