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Finding the Fourth Proportional to 3,742.47, 5,164.96 and 2,149.33

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Solution

The fourth proportional to 3,742.47, 5,164.96 and 2,149.33 is: 2,966.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.47 : 5,164.96 = 2,149.33 : x
  2. Step 2: Convert to fraction form
    3,742.47/5,164.96 = 2,149.33/x
  3. Step 3: Cross multiply
    3,742.47x = 5,164.96 × 2,149.33
  4. Step 4: Simplify right side
    3,742.47x = 11,101,185.19
  5. Step 5: Solve for x
    x = 11,101,185.19/3,742.47
  6. Step 6: Final answer
    x = 2,966.27

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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.