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Finding the Fourth Proportional to 3,419.52, 5,129.40 and 954.24

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Solution

The fourth proportional to 3,419.52, 5,129.40 and 954.24 is: 1,431.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.52 : 5,129.40 = 954.24 : x
  2. Step 2: Convert to fraction form
    3,419.52/5,129.40 = 954.24/x
  3. Step 3: Cross multiply
    3,419.52x = 5,129.40 × 954.24
  4. Step 4: Simplify right side
    3,419.52x = 4,894,678.66
  5. Step 5: Solve for x
    x = 4,894,678.66/3,419.52
  6. Step 6: Final answer
    x = 1,431.39

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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.