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Finding the Fourth Proportional to 4,170.13, 5,745.01 and 2,908.90

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Solution

The fourth proportional to 4,170.13, 5,745.01 and 2,908.90 is: 4,007.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.13 : 5,745.01 = 2,908.90 : x
  2. Step 2: Convert to fraction form
    4,170.13/5,745.01 = 2,908.90/x
  3. Step 3: Cross multiply
    4,170.13x = 5,745.01 × 2,908.90
  4. Step 4: Simplify right side
    4,170.13x = 16,711,659.59
  5. Step 5: Solve for x
    x = 16,711,659.59/4,170.13
  6. Step 6: Final answer
    x = 4,007.47

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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.