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Finding the Fourth Proportional to 5,262.02, 7,894.33 and 1,564.24

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Solution

The fourth proportional to 5,262.02, 7,894.33 and 1,564.24 is: 2,346.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.02 : 7,894.33 = 1,564.24 : x
  2. Step 2: Convert to fraction form
    5,262.02/7,894.33 = 1,564.24/x
  3. Step 3: Cross multiply
    5,262.02x = 7,894.33 × 1,564.24
  4. Step 4: Simplify right side
    5,262.02x = 12,348,599.09
  5. Step 5: Solve for x
    x = 12,348,599.09/5,262.02
  6. Step 6: Final answer
    x = 2,346.74

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