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Finding the Fourth Proportional to 3,742.87, 5,164.96 and 2,149.60

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Solution

The fourth proportional to 3,742.87, 5,164.96 and 2,149.60 is: 2,966.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.87 : 5,164.96 = 2,149.60 : x
  2. Step 2: Convert to fraction form
    3,742.87/5,164.96 = 2,149.60/x
  3. Step 3: Cross multiply
    3,742.87x = 5,164.96 × 2,149.60
  4. Step 4: Simplify right side
    3,742.87x = 11,102,598.02
  5. Step 5: Solve for x
    x = 11,102,598.02/3,742.87
  6. Step 6: Final answer
    x = 2,966.33

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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.