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Finding the Fourth Proportional to 3,742.61, 5,164.36 and 2,171.00

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Solution

The fourth proportional to 3,742.61, 5,164.36 and 2,171.00 is: 2,995.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.61 : 5,164.36 = 2,171.00 : x
  2. Step 2: Convert to fraction form
    3,742.61/5,164.36 = 2,171.00/x
  3. Step 3: Cross multiply
    3,742.61x = 5,164.36 × 2,171.00
  4. Step 4: Simplify right side
    3,742.61x = 11,211,833.04
  5. Step 5: Solve for x
    x = 11,211,833.04/3,742.61
  6. Step 6: Final answer
    x = 2,995.73

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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.