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Finding the Fourth Proportional to 3,646.75, 5,472.77 and 1,456.10

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Solution

The fourth proportional to 3,646.75, 5,472.77 and 1,456.10 is: 2,185.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.75 : 5,472.77 = 1,456.10 : x
  2. Step 2: Convert to fraction form
    3,646.75/5,472.77 = 1,456.10/x
  3. Step 3: Cross multiply
    3,646.75x = 5,472.77 × 1,456.10
  4. Step 4: Simplify right side
    3,646.75x = 7,968,900.40
  5. Step 5: Solve for x
    x = 7,968,900.40/3,646.75
  6. Step 6: Final answer
    x = 2,185.21

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