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Finding the Fourth Proportional to 5,260.12, 7,890.09 and 1,564.85

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Solution

The fourth proportional to 5,260.12, 7,890.09 and 1,564.85 is: 2,347.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,260.12 : 7,890.09 = 1,564.85 : x
  2. Step 2: Convert to fraction form
    5,260.12/7,890.09 = 1,564.85/x
  3. Step 3: Cross multiply
    5,260.12x = 7,890.09 × 1,564.85
  4. Step 4: Simplify right side
    5,260.12x = 12,346,807.34
  5. Step 5: Solve for x
    x = 12,346,807.34/5,260.12
  6. Step 6: Final answer
    x = 2,347.25

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