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Finding the Fourth Proportional to 3,764.40, 5,646.75 and 1,424.17

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Solution

The fourth proportional to 3,764.40, 5,646.75 and 1,424.17 is: 2,136.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.40 : 5,646.75 = 1,424.17 : x
  2. Step 2: Convert to fraction form
    3,764.40/5,646.75 = 1,424.17/x
  3. Step 3: Cross multiply
    3,764.40x = 5,646.75 × 1,424.17
  4. Step 4: Simplify right side
    3,764.40x = 8,041,931.95
  5. Step 5: Solve for x
    x = 8,041,931.95/3,764.40
  6. Step 6: Final answer
    x = 2,136.31

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