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Finding the Fourth Proportional to 4,044.96, 6,060.96 and 2,314.80

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Solution

The fourth proportional to 4,044.96, 6,060.96 and 2,314.80 is: 3,468.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,044.96 : 6,060.96 = 2,314.80 : x
  2. Step 2: Convert to fraction form
    4,044.96/6,060.96 = 2,314.80/x
  3. Step 3: Cross multiply
    4,044.96x = 6,060.96 × 2,314.80
  4. Step 4: Simplify right side
    4,044.96x = 14,029,910.21
  5. Step 5: Solve for x
    x = 14,029,910.21/4,044.96
  6. Step 6: Final answer
    x = 3,468.49

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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.