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Finding the Fourth Proportional to 5,641.76, 8,457.28 and 2,178.24

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Solution

The fourth proportional to 5,641.76, 8,457.28 and 2,178.24 is: 3,265.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.76 : 8,457.28 = 2,178.24 : x
  2. Step 2: Convert to fraction form
    5,641.76/8,457.28 = 2,178.24/x
  3. Step 3: Cross multiply
    5,641.76x = 8,457.28 × 2,178.24
  4. Step 4: Simplify right side
    5,641.76x = 18,421,985.59
  5. Step 5: Solve for x
    x = 18,421,985.59/5,641.76
  6. Step 6: Final answer
    x = 3,265.29

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