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Finding the Fourth Proportional to 5,210.89, 7,816.32 and 4,906.54

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Solution

The fourth proportional to 5,210.89, 7,816.32 and 4,906.54 is: 7,359.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.89 : 7,816.32 = 4,906.54 : x
  2. Step 2: Convert to fraction form
    5,210.89/7,816.32 = 4,906.54/x
  3. Step 3: Cross multiply
    5,210.89x = 7,816.32 × 4,906.54
  4. Step 4: Simplify right side
    5,210.89x = 38,351,086.73
  5. Step 5: Solve for x
    x = 38,351,086.73/5,210.89
  6. Step 6: Final answer
    x = 7,359.80

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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.