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Finding the Fourth Proportional to 5,057.37, 7,598.81 and 3,209.36

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Solution

The fourth proportional to 5,057.37, 7,598.81 and 3,209.36 is: 4,822.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.37 : 7,598.81 = 3,209.36 : x
  2. Step 2: Convert to fraction form
    5,057.37/7,598.81 = 3,209.36/x
  3. Step 3: Cross multiply
    5,057.37x = 7,598.81 × 3,209.36
  4. Step 4: Simplify right side
    5,057.37x = 24,387,286.89
  5. Step 5: Solve for x
    x = 24,387,286.89/5,057.37
  6. Step 6: Final answer
    x = 4,822.13

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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.