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Finding the Fourth Proportional to 5,016.90, 6,907.86 and 4,456.39

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Solution

The fourth proportional to 5,016.90, 6,907.86 and 4,456.39 is: 6,136.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,016.90 : 6,907.86 = 4,456.39 : x
  2. Step 2: Convert to fraction form
    5,016.90/6,907.86 = 4,456.39/x
  3. Step 3: Cross multiply
    5,016.90x = 6,907.86 × 4,456.39
  4. Step 4: Simplify right side
    5,016.90x = 30,784,145.87
  5. Step 5: Solve for x
    x = 30,784,145.87/5,016.90
  6. Step 6: Final answer
    x = 6,136.09

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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.