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Finding the Fourth Proportional to 5,791.22, 8,686.77 and 1,408.68

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Solution

The fourth proportional to 5,791.22, 8,686.77 and 1,408.68 is: 2,113.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.22 : 8,686.77 = 1,408.68 : x
  2. Step 2: Convert to fraction form
    5,791.22/8,686.77 = 1,408.68/x
  3. Step 3: Cross multiply
    5,791.22x = 8,686.77 × 1,408.68
  4. Step 4: Simplify right side
    5,791.22x = 12,236,879.16
  5. Step 5: Solve for x
    x = 12,236,879.16/5,791.22
  6. Step 6: Final answer
    x = 2,113.01

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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.