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Finding the Fourth Proportional to 4,553.76, 6,283.95 and 2,564.25

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Solution

The fourth proportional to 4,553.76, 6,283.95 and 2,564.25 is: 3,538.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,553.76 : 6,283.95 = 2,564.25 : x
  2. Step 2: Convert to fraction form
    4,553.76/6,283.95 = 2,564.25/x
  3. Step 3: Cross multiply
    4,553.76x = 6,283.95 × 2,564.25
  4. Step 4: Simplify right side
    4,553.76x = 16,113,618.79
  5. Step 5: Solve for x
    x = 16,113,618.79/4,553.76
  6. Step 6: Final answer
    x = 3,538.53

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