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Finding the Fourth Proportional to 3,835.52, 5,285.76 and 3,204.80

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Solution

The fourth proportional to 3,835.52, 5,285.76 and 3,204.80 is: 4,416.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.52 : 5,285.76 = 3,204.80 : x
  2. Step 2: Convert to fraction form
    3,835.52/5,285.76 = 3,204.80/x
  3. Step 3: Cross multiply
    3,835.52x = 5,285.76 × 3,204.80
  4. Step 4: Simplify right side
    3,835.52x = 16,939,803.65
  5. Step 5: Solve for x
    x = 16,939,803.65/3,835.52
  6. Step 6: Final answer
    x = 4,416.56

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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.