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Finding the Fourth Proportional to 5,046.72, 6,961.02 and 3,053.84

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Solution

The fourth proportional to 5,046.72, 6,961.02 and 3,053.84 is: 4,212.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.72 : 6,961.02 = 3,053.84 : x
  2. Step 2: Convert to fraction form
    5,046.72/6,961.02 = 3,053.84/x
  3. Step 3: Cross multiply
    5,046.72x = 6,961.02 × 3,053.84
  4. Step 4: Simplify right side
    5,046.72x = 21,257,841.32
  5. Step 5: Solve for x
    x = 21,257,841.32/5,046.72
  6. Step 6: Final answer
    x = 4,212.21

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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.