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Finding the Fourth Proportional to 3,735.86, 5,156.39 and 2,164.86

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Solution

The fourth proportional to 3,735.86, 5,156.39 and 2,164.86 is: 2,988.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.86 : 5,156.39 = 2,164.86 : x
  2. Step 2: Convert to fraction form
    3,735.86/5,156.39 = 2,164.86/x
  3. Step 3: Cross multiply
    3,735.86x = 5,156.39 × 2,164.86
  4. Step 4: Simplify right side
    3,735.86x = 11,162,867.87
  5. Step 5: Solve for x
    x = 11,162,867.87/3,735.86
  6. Step 6: Final answer
    x = 2,988.04

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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.