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Finding the Fourth Proportional to 3,762.23, 5,643.75 and 1,569.74

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Solution

The fourth proportional to 3,762.23, 5,643.75 and 1,569.74 is: 2,354.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.23 : 5,643.75 = 1,569.74 : x
  2. Step 2: Convert to fraction form
    3,762.23/5,643.75 = 1,569.74/x
  3. Step 3: Cross multiply
    3,762.23x = 5,643.75 × 1,569.74
  4. Step 4: Simplify right side
    3,762.23x = 8,859,220.13
  5. Step 5: Solve for x
    x = 8,859,220.13/3,762.23
  6. Step 6: Final answer
    x = 2,354.78

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