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Finding the Fourth Proportional to 5,739.96, 7,920.98 and 3,350.46

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Solution

The fourth proportional to 5,739.96, 7,920.98 and 3,350.46 is: 4,623.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.96 : 7,920.98 = 3,350.46 : x
  2. Step 2: Convert to fraction form
    5,739.96/7,920.98 = 3,350.46/x
  3. Step 3: Cross multiply
    5,739.96x = 7,920.98 × 3,350.46
  4. Step 4: Simplify right side
    5,739.96x = 26,538,926.65
  5. Step 5: Solve for x
    x = 26,538,926.65/5,739.96
  6. Step 6: Final answer
    x = 4,623.54

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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.