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Finding the Fourth Proportional to 5,739.22, 8,610.20 and 2,041.77

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Solution

The fourth proportional to 5,739.22, 8,610.20 and 2,041.77 is: 3,063.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.22 : 8,610.20 = 2,041.77 : x
  2. Step 2: Convert to fraction form
    5,739.22/8,610.20 = 2,041.77/x
  3. Step 3: Cross multiply
    5,739.22x = 8,610.20 × 2,041.77
  4. Step 4: Simplify right side
    5,739.22x = 17,580,077.79
  5. Step 5: Solve for x
    x = 17,580,077.79/5,739.22
  6. Step 6: Final answer
    x = 3,063.15

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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.