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Finding the Fourth Proportional to 5,083.50, 7,625.25 and 1,620.75

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Solution

The fourth proportional to 5,083.50, 7,625.25 and 1,620.75 is: 2,431.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,083.50 : 7,625.25 = 1,620.75 : x
  2. Step 2: Convert to fraction form
    5,083.50/7,625.25 = 1,620.75/x
  3. Step 3: Cross multiply
    5,083.50x = 7,625.25 × 1,620.75
  4. Step 4: Simplify right side
    5,083.50x = 12,358,623.94
  5. Step 5: Solve for x
    x = 12,358,623.94/5,083.50
  6. Step 6: Final answer
    x = 2,431.13

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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.