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Finding the Fourth Proportional to 3,419.53, 5,129.31 and 954.52

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Solution

The fourth proportional to 3,419.53, 5,129.31 and 954.52 is: 1,431.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.53 : 5,129.31 = 954.52 : x
  2. Step 2: Convert to fraction form
    3,419.53/5,129.31 = 954.52/x
  3. Step 3: Cross multiply
    3,419.53x = 5,129.31 × 954.52
  4. Step 4: Simplify right side
    3,419.53x = 4,896,028.98
  5. Step 5: Solve for x
    x = 4,896,028.98/3,419.53
  6. Step 6: Final answer
    x = 1,431.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.