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Finding the Fourth Proportional to 3,165.75, 4,369.14 and 1,839.51

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Solution

The fourth proportional to 3,165.75, 4,369.14 and 1,839.51 is: 2,538.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.75 : 4,369.14 = 1,839.51 : x
  2. Step 2: Convert to fraction form
    3,165.75/4,369.14 = 1,839.51/x
  3. Step 3: Cross multiply
    3,165.75x = 4,369.14 × 1,839.51
  4. Step 4: Simplify right side
    3,165.75x = 8,037,076.72
  5. Step 5: Solve for x
    x = 8,037,076.72/3,165.75
  6. Step 6: Final answer
    x = 2,538.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.