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Finding the Fourth Proportional to 5,739.34, 7,920.21 and 3,221.50

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Solution

The fourth proportional to 5,739.34, 7,920.21 and 3,221.50 is: 4,445.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.34 : 7,920.21 = 3,221.50 : x
  2. Step 2: Convert to fraction form
    5,739.34/7,920.21 = 3,221.50/x
  3. Step 3: Cross multiply
    5,739.34x = 7,920.21 × 3,221.50
  4. Step 4: Simplify right side
    5,739.34x = 25,514,956.52
  5. Step 5: Solve for x
    x = 25,514,956.52/5,739.34
  6. Step 6: Final answer
    x = 4,445.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.