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Finding the Fourth Proportional to 5,404.38, 7,458.52 and 3,046.98

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Solution

The fourth proportional to 5,404.38, 7,458.52 and 3,046.98 is: 4,205.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,404.38 : 7,458.52 = 3,046.98 : x
  2. Step 2: Convert to fraction form
    5,404.38/7,458.52 = 3,046.98/x
  3. Step 3: Cross multiply
    5,404.38x = 7,458.52 × 3,046.98
  4. Step 4: Simplify right side
    5,404.38x = 22,725,961.27
  5. Step 5: Solve for x
    x = 22,725,961.27/5,404.38
  6. Step 6: Final answer
    x = 4,205.10

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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.