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Finding the Fourth Proportional to 4,196.34, 5,789.04 and 3,190.72

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Solution

The fourth proportional to 4,196.34, 5,789.04 and 3,190.72 is: 4,401.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.34 : 5,789.04 = 3,190.72 : x
  2. Step 2: Convert to fraction form
    4,196.34/5,789.04 = 3,190.72/x
  3. Step 3: Cross multiply
    4,196.34x = 5,789.04 × 3,190.72
  4. Step 4: Simplify right side
    4,196.34x = 18,471,205.71
  5. Step 5: Solve for x
    x = 18,471,205.71/4,196.34
  6. Step 6: Final answer
    x = 4,401.74

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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.