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Finding the Fourth Proportional to 5,738.09, 7,920.14 and 3,380.99

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Solution

The fourth proportional to 5,738.09, 7,920.14 and 3,380.99 is: 4,666.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.09 : 7,920.14 = 3,380.99 : x
  2. Step 2: Convert to fraction form
    5,738.09/7,920.14 = 3,380.99/x
  3. Step 3: Cross multiply
    5,738.09x = 7,920.14 × 3,380.99
  4. Step 4: Simplify right side
    5,738.09x = 26,777,857.63
  5. Step 5: Solve for x
    x = 26,777,857.63/5,738.09
  6. Step 6: Final answer
    x = 4,666.69

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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.