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Finding the Fourth Proportional to 5,370.81, 8,055.90 and 3,193.40

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Solution

The fourth proportional to 5,370.81, 8,055.90 and 3,193.40 is: 4,789.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,370.81 : 8,055.90 = 3,193.40 : x
  2. Step 2: Convert to fraction form
    5,370.81/8,055.90 = 3,193.40/x
  3. Step 3: Cross multiply
    5,370.81x = 8,055.90 × 3,193.40
  4. Step 4: Simplify right side
    5,370.81x = 25,725,654.81
  5. Step 5: Solve for x
    x = 25,725,654.81/5,370.81
  6. Step 6: Final answer
    x = 4,789.90

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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.