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Finding the Fourth Proportional to 5,448.61, 8,162.61 and 3,220.77

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Solution

The fourth proportional to 5,448.61, 8,162.61 and 3,220.77 is: 4,825.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,448.61 : 8,162.61 = 3,220.77 : x
  2. Step 2: Convert to fraction form
    5,448.61/8,162.61 = 3,220.77/x
  3. Step 3: Cross multiply
    5,448.61x = 8,162.61 × 3,220.77
  4. Step 4: Simplify right side
    5,448.61x = 26,289,907.94
  5. Step 5: Solve for x
    x = 26,289,907.94/5,448.61
  6. Step 6: Final answer
    x = 4,825.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.