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Finding the Fourth Proportional to 4,083.50, 6,125.34 and 1,775

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Solution

The fourth proportional to 4,083.50, 6,125.34 and 1,775 is: 2,662.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,083.50 : 6,125.34 = 1,775 : x
  2. Step 2: Convert to fraction form
    4,083.50/6,125.34 = 1,775/x
  3. Step 3: Cross multiply
    4,083.50x = 6,125.34 × 1,775
  4. Step 4: Simplify right side
    4,083.50x = 10,872,478.50
  5. Step 5: Solve for x
    x = 10,872,478.50/4,083.50
  6. Step 6: Final answer
    x = 2,662.54

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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.