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Finding the Fourth Proportional to 5,701.34, 7,867.16 and 3,183.59

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Solution

The fourth proportional to 5,701.34, 7,867.16 and 3,183.59 is: 4,392.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.34 : 7,867.16 = 3,183.59 : x
  2. Step 2: Convert to fraction form
    5,701.34/7,867.16 = 3,183.59/x
  3. Step 3: Cross multiply
    5,701.34x = 7,867.16 × 3,183.59
  4. Step 4: Simplify right side
    5,701.34x = 25,045,827.59
  5. Step 5: Solve for x
    x = 25,045,827.59/5,701.34
  6. Step 6: Final answer
    x = 4,392.97

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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.