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Finding the Fourth Proportional to 4,968.87, 7,456.92 and 4,006.59

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Solution

The fourth proportional to 4,968.87, 7,456.92 and 4,006.59 is: 6,012.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.87 : 7,456.92 = 4,006.59 : x
  2. Step 2: Convert to fraction form
    4,968.87/7,456.92 = 4,006.59/x
  3. Step 3: Cross multiply
    4,968.87x = 7,456.92 × 4,006.59
  4. Step 4: Simplify right side
    4,968.87x = 29,876,821.10
  5. Step 5: Solve for x
    x = 29,876,821.10/4,968.87
  6. Step 6: Final answer
    x = 6,012.80

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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.