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Finding the Fourth Proportional to 5,220.48, 7,835.04 and 3,917.76

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Solution

The fourth proportional to 5,220.48, 7,835.04 and 3,917.76 is: 5,879.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220.48 : 7,835.04 = 3,917.76 : x
  2. Step 2: Convert to fraction form
    5,220.48/7,835.04 = 3,917.76/x
  3. Step 3: Cross multiply
    5,220.48x = 7,835.04 × 3,917.76
  4. Step 4: Simplify right side
    5,220.48x = 30,695,806.31
  5. Step 5: Solve for x
    x = 30,695,806.31/5,220.48
  6. Step 6: Final answer
    x = 5,879.88

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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.