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Finding the Fourth Proportional to 5,572.82, 7,690.49 and 3,054.86

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Solution

The fourth proportional to 5,572.82, 7,690.49 and 3,054.86 is: 4,215.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,572.82 : 7,690.49 = 3,054.86 : x
  2. Step 2: Convert to fraction form
    5,572.82/7,690.49 = 3,054.86/x
  3. Step 3: Cross multiply
    5,572.82x = 7,690.49 × 3,054.86
  4. Step 4: Simplify right side
    5,572.82x = 23,493,370.28
  5. Step 5: Solve for x
    x = 23,493,370.28/5,572.82
  6. Step 6: Final answer
    x = 4,215.71

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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.