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Finding the Fourth Proportional to 5,213.76, 7,823.75 and 4,789.79

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Solution

The fourth proportional to 5,213.76, 7,823.75 and 4,789.79 is: 7,187.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.76 : 7,823.75 = 4,789.79 : x
  2. Step 2: Convert to fraction form
    5,213.76/7,823.75 = 4,789.79/x
  3. Step 3: Cross multiply
    5,213.76x = 7,823.75 × 4,789.79
  4. Step 4: Simplify right side
    5,213.76x = 37,474,119.51
  5. Step 5: Solve for x
    x = 37,474,119.51/5,213.76
  6. Step 6: Final answer
    x = 7,187.54

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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.