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Finding the Fourth Proportional to 5,739.19, 7,920.45 and 3,221.45

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Solution

The fourth proportional to 5,739.19, 7,920.45 and 3,221.45 is: 4,445.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.19 : 7,920.45 = 3,221.45 : x
  2. Step 2: Convert to fraction form
    5,739.19/7,920.45 = 3,221.45/x
  3. Step 3: Cross multiply
    5,739.19x = 7,920.45 × 3,221.45
  4. Step 4: Simplify right side
    5,739.19x = 25,515,333.65
  5. Step 5: Solve for x
    x = 25,515,333.65/5,739.19
  6. Step 6: Final answer
    x = 4,445.81

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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.