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Finding the Fourth Proportional to 5,781, 8,673.69 and 3,442.35

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Solution

The fourth proportional to 5,781, 8,673.69 and 3,442.35 is: 5,164.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781 : 8,673.69 = 3,442.35 : x
  2. Step 2: Convert to fraction form
    5,781/8,673.69 = 3,442.35/x
  3. Step 3: Cross multiply
    5,781x = 8,673.69 × 3,442.35
  4. Step 4: Simplify right side
    5,781x = 29,857,876.77
  5. Step 5: Solve for x
    x = 29,857,876.77/5,781
  6. Step 6: Final answer
    x = 5,164.83

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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.