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Finding the Fourth Proportional to 3,419.83, 5,129.78 and 954.50

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Solution

The fourth proportional to 3,419.83, 5,129.78 and 954.50 is: 1,431.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.83 : 5,129.78 = 954.50 : x
  2. Step 2: Convert to fraction form
    3,419.83/5,129.78 = 954.50/x
  3. Step 3: Cross multiply
    3,419.83x = 5,129.78 × 954.50
  4. Step 4: Simplify right side
    3,419.83x = 4,896,375.01
  5. Step 5: Solve for x
    x = 4,896,375.01/3,419.83
  6. Step 6: Final answer
    x = 1,431.76

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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.