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Finding the Fourth Proportional to 3,462.66, 4,777.10 and 2,203.38

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Solution

The fourth proportional to 3,462.66, 4,777.10 and 2,203.38 is: 3,039.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.66 : 4,777.10 = 2,203.38 : x
  2. Step 2: Convert to fraction form
    3,462.66/4,777.10 = 2,203.38/x
  3. Step 3: Cross multiply
    3,462.66x = 4,777.10 × 2,203.38
  4. Step 4: Simplify right side
    3,462.66x = 10,525,766.60
  5. Step 5: Solve for x
    x = 10,525,766.60/3,462.66
  6. Step 6: Final answer
    x = 3,039.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.