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Finding the Fourth Proportional to 3,203.53, 4,777.02 and 3,089.32

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Solution

The fourth proportional to 3,203.53, 4,777.02 and 3,089.32 is: 4,606.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.53 : 4,777.02 = 3,089.32 : x
  2. Step 2: Convert to fraction form
    3,203.53/4,777.02 = 3,089.32/x
  3. Step 3: Cross multiply
    3,203.53x = 4,777.02 × 3,089.32
  4. Step 4: Simplify right side
    3,203.53x = 14,757,719.54
  5. Step 5: Solve for x
    x = 14,757,719.54/3,203.53
  6. Step 6: Final answer
    x = 4,606.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.