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Finding the Fourth Proportional to 4,288.97, 5,920.89 and 2,944.22

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Solution

The fourth proportional to 4,288.97, 5,920.89 and 2,944.22 is: 4,064.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,288.97 : 5,920.89 = 2,944.22 : x
  2. Step 2: Convert to fraction form
    4,288.97/5,920.89 = 2,944.22/x
  3. Step 3: Cross multiply
    4,288.97x = 5,920.89 × 2,944.22
  4. Step 4: Simplify right side
    4,288.97x = 17,432,402.76
  5. Step 5: Solve for x
    x = 17,432,402.76/4,288.97
  6. Step 6: Final answer
    x = 4,064.47

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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.