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Finding the Fourth Proportional to 5,460.53, 8,190.77 and 1,564.95

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Solution

The fourth proportional to 5,460.53, 8,190.77 and 1,564.95 is: 2,347.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.53 : 8,190.77 = 1,564.95 : x
  2. Step 2: Convert to fraction form
    5,460.53/8,190.77 = 1,564.95/x
  3. Step 3: Cross multiply
    5,460.53x = 8,190.77 × 1,564.95
  4. Step 4: Simplify right side
    5,460.53x = 12,818,137.69
  5. Step 5: Solve for x
    x = 12,818,137.69/5,460.53
  6. Step 6: Final answer
    x = 2,347.42

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