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Finding the Fourth Proportional to 5,410.38, 7,458.84 and 3,419.94

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Solution

The fourth proportional to 5,410.38, 7,458.84 and 3,419.94 is: 4,714.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.38 : 7,458.84 = 3,419.94 : x
  2. Step 2: Convert to fraction form
    5,410.38/7,458.84 = 3,419.94/x
  3. Step 3: Cross multiply
    5,410.38x = 7,458.84 × 3,419.94
  4. Step 4: Simplify right side
    5,410.38x = 25,508,785.27
  5. Step 5: Solve for x
    x = 25,508,785.27/5,410.38
  6. Step 6: Final answer
    x = 4,714.79

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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.