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Finding the Fourth Proportional to 3,761.01, 5,641.61 and 2,114.01

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Solution

The fourth proportional to 3,761.01, 5,641.61 and 2,114.01 is: 3,171.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.01 : 5,641.61 = 2,114.01 : x
  2. Step 2: Convert to fraction form
    3,761.01/5,641.61 = 2,114.01/x
  3. Step 3: Cross multiply
    3,761.01x = 5,641.61 × 2,114.01
  4. Step 4: Simplify right side
    3,761.01x = 11,926,409.39
  5. Step 5: Solve for x
    x = 11,926,409.39/3,761.01
  6. Step 6: Final answer
    x = 3,171.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.