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Finding the Fourth Proportional to 3,739.02, 5,160.03 and 2,167.14

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Solution

The fourth proportional to 3,739.02, 5,160.03 and 2,167.14 is: 2,990.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,739.02 : 5,160.03 = 2,167.14 : x
  2. Step 2: Convert to fraction form
    3,739.02/5,160.03 = 2,167.14/x
  3. Step 3: Cross multiply
    3,739.02x = 5,160.03 × 2,167.14
  4. Step 4: Simplify right side
    3,739.02x = 11,182,507.41
  5. Step 5: Solve for x
    x = 11,182,507.41/3,739.02
  6. Step 6: Final answer
    x = 2,990.76

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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.