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Finding the Fourth Proportional to 4,129.28, 6,188.03 and 2,047.22

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Solution

The fourth proportional to 4,129.28, 6,188.03 and 2,047.22 is: 3,067.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.28 : 6,188.03 = 2,047.22 : x
  2. Step 2: Convert to fraction form
    4,129.28/6,188.03 = 2,047.22/x
  3. Step 3: Cross multiply
    4,129.28x = 6,188.03 × 2,047.22
  4. Step 4: Simplify right side
    4,129.28x = 12,668,264.01
  5. Step 5: Solve for x
    x = 12,668,264.01/4,129.28
  6. Step 6: Final answer
    x = 3,067.91

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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.