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Finding the Fourth Proportional to 5,188.86, 7,787.40 and 2,269.26

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Solution

The fourth proportional to 5,188.86, 7,787.40 and 2,269.26 is: 3,405.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.86 : 7,787.40 = 2,269.26 : x
  2. Step 2: Convert to fraction form
    5,188.86/7,787.40 = 2,269.26/x
  3. Step 3: Cross multiply
    5,188.86x = 7,787.40 × 2,269.26
  4. Step 4: Simplify right side
    5,188.86x = 17,671,635.32
  5. Step 5: Solve for x
    x = 17,671,635.32/5,188.86
  6. Step 6: Final answer
    x = 3,405.69

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