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Finding the Fourth Proportional to 5,421.86, 7,481.94 and 3,064.22

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Solution

The fourth proportional to 5,421.86, 7,481.94 and 3,064.22 is: 4,228.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,421.86 : 7,481.94 = 3,064.22 : x
  2. Step 2: Convert to fraction form
    5,421.86/7,481.94 = 3,064.22/x
  3. Step 3: Cross multiply
    5,421.86x = 7,481.94 × 3,064.22
  4. Step 4: Simplify right side
    5,421.86x = 22,926,310.19
  5. Step 5: Solve for x
    x = 22,926,310.19/5,421.86
  6. Step 6: Final answer
    x = 4,228.50

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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.