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Finding the Fourth Proportional to 3,740.72, 5,160.42 and 2,167.88

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Solution

The fourth proportional to 3,740.72, 5,160.42 and 2,167.88 is: 2,990.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.72 : 5,160.42 = 2,167.88 : x
  2. Step 2: Convert to fraction form
    3,740.72/5,160.42 = 2,167.88/x
  3. Step 3: Cross multiply
    3,740.72x = 5,160.42 × 2,167.88
  4. Step 4: Simplify right side
    3,740.72x = 11,187,145.51
  5. Step 5: Solve for x
    x = 11,187,145.51/3,740.72
  6. Step 6: Final answer
    x = 2,990.64

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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.