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Finding the Fourth Proportional to 5,789.76, 7,972.47 and 5,234.10

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Solution

The fourth proportional to 5,789.76, 7,972.47 and 5,234.10 is: 7,207.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.76 : 7,972.47 = 5,234.10 : x
  2. Step 2: Convert to fraction form
    5,789.76/7,972.47 = 5,234.10/x
  3. Step 3: Cross multiply
    5,789.76x = 7,972.47 × 5,234.10
  4. Step 4: Simplify right side
    5,789.76x = 41,728,705.23
  5. Step 5: Solve for x
    x = 41,728,705.23/5,789.76
  6. Step 6: Final answer
    x = 7,207.33

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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.