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Finding the Fourth Proportional to 3,471.40, 4,795.13 and 3,028.53

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Solution

The fourth proportional to 3,471.40, 4,795.13 and 3,028.53 is: 4,183.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.40 : 4,795.13 = 3,028.53 : x
  2. Step 2: Convert to fraction form
    3,471.40/4,795.13 = 3,028.53/x
  3. Step 3: Cross multiply
    3,471.40x = 4,795.13 × 3,028.53
  4. Step 4: Simplify right side
    3,471.40x = 14,522,179.92
  5. Step 5: Solve for x
    x = 14,522,179.92/3,471.40
  6. Step 6: Final answer
    x = 4,183.38

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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.