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Finding the Fourth Proportional to 5,114.34, 7,671.60 and 1,829.79

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Solution

The fourth proportional to 5,114.34, 7,671.60 and 1,829.79 is: 2,744.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.34 : 7,671.60 = 1,829.79 : x
  2. Step 2: Convert to fraction form
    5,114.34/7,671.60 = 1,829.79/x
  3. Step 3: Cross multiply
    5,114.34x = 7,671.60 × 1,829.79
  4. Step 4: Simplify right side
    5,114.34x = 14,037,416.96
  5. Step 5: Solve for x
    x = 14,037,416.96/5,114.34
  6. Step 6: Final answer
    x = 2,744.72

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