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Finding the Fourth Proportional to 5,756.66, 8,634.07 and 2,058.20

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Solution

The fourth proportional to 5,756.66, 8,634.07 and 2,058.20 is: 3,086.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.66 : 8,634.07 = 2,058.20 : x
  2. Step 2: Convert to fraction form
    5,756.66/8,634.07 = 2,058.20/x
  3. Step 3: Cross multiply
    5,756.66x = 8,634.07 × 2,058.20
  4. Step 4: Simplify right side
    5,756.66x = 17,770,642.87
  5. Step 5: Solve for x
    x = 17,770,642.87/5,756.66
  6. Step 6: Final answer
    x = 3,086.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.