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Finding the Fourth Proportional to 5,209.47, 7,803.68 and 3,229.02

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Solution

The fourth proportional to 5,209.47, 7,803.68 and 3,229.02 is: 4,837.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.47 : 7,803.68 = 3,229.02 : x
  2. Step 2: Convert to fraction form
    5,209.47/7,803.68 = 3,229.02/x
  3. Step 3: Cross multiply
    5,209.47x = 7,803.68 × 3,229.02
  4. Step 4: Simplify right side
    5,209.47x = 25,198,222.65
  5. Step 5: Solve for x
    x = 25,198,222.65/5,209.47
  6. Step 6: Final answer
    x = 4,837.00

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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.