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Finding the Fourth Proportional to 5,083.88, 7,612.86 and 2,480

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Solution

The fourth proportional to 5,083.88, 7,612.86 and 2,480 is: 3,713.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,083.88 : 7,612.86 = 2,480 : x
  2. Step 2: Convert to fraction form
    5,083.88/7,612.86 = 2,480/x
  3. Step 3: Cross multiply
    5,083.88x = 7,612.86 × 2,480
  4. Step 4: Simplify right side
    5,083.88x = 18,879,892.80
  5. Step 5: Solve for x
    x = 18,879,892.80/5,083.88
  6. Step 6: Final answer
    x = 3,713.68

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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.