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Finding the Fourth Proportional to 3,703.50, 5,110.80 and 2,024.92

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Solution

The fourth proportional to 3,703.50, 5,110.80 and 2,024.92 is: 2,794.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.50 : 5,110.80 = 2,024.92 : x
  2. Step 2: Convert to fraction form
    3,703.50/5,110.80 = 2,024.92/x
  3. Step 3: Cross multiply
    3,703.50x = 5,110.80 × 2,024.92
  4. Step 4: Simplify right side
    3,703.50x = 10,348,961.14
  5. Step 5: Solve for x
    x = 10,348,961.14/3,703.50
  6. Step 6: Final answer
    x = 2,794.37

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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.