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Finding the Fourth Proportional to 5,114.55, 7,670.72 and 1,827.87

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Solution

The fourth proportional to 5,114.55, 7,670.72 and 1,827.87 is: 2,741.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.55 : 7,670.72 = 1,827.87 : x
  2. Step 2: Convert to fraction form
    5,114.55/7,670.72 = 1,827.87/x
  3. Step 3: Cross multiply
    5,114.55x = 7,670.72 × 1,827.87
  4. Step 4: Simplify right side
    5,114.55x = 14,021,069.83
  5. Step 5: Solve for x
    x = 14,021,069.83/5,114.55
  6. Step 6: Final answer
    x = 2,741.41

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