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Finding the Fourth Proportional to 4,166.52, 5,749.02 and 2,593.50

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Solution

The fourth proportional to 4,166.52, 5,749.02 and 2,593.50 is: 3,578.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.52 : 5,749.02 = 2,593.50 : x
  2. Step 2: Convert to fraction form
    4,166.52/5,749.02 = 2,593.50/x
  3. Step 3: Cross multiply
    4,166.52x = 5,749.02 × 2,593.50
  4. Step 4: Simplify right side
    4,166.52x = 14,910,083.37
  5. Step 5: Solve for x
    x = 14,910,083.37/4,166.52
  6. Step 6: Final answer
    x = 3,578.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.