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Finding the Fourth Proportional to 4,083.76, 6,125.50 and 1,775.26

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Solution

The fourth proportional to 4,083.76, 6,125.50 and 1,775.26 is: 2,662.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,083.76 : 6,125.50 = 1,775.26 : x
  2. Step 2: Convert to fraction form
    4,083.76/6,125.50 = 1,775.26/x
  3. Step 3: Cross multiply
    4,083.76x = 6,125.50 × 1,775.26
  4. Step 4: Simplify right side
    4,083.76x = 10,874,355.13
  5. Step 5: Solve for x
    x = 10,874,355.13/4,083.76
  6. Step 6: Final answer
    x = 2,662.83

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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.