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Finding the Fourth Proportional to 4,564.86, 6,843.33 and 2,221.61

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Solution

The fourth proportional to 4,564.86, 6,843.33 and 2,221.61 is: 3,330.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.86 : 6,843.33 = 2,221.61 : x
  2. Step 2: Convert to fraction form
    4,564.86/6,843.33 = 2,221.61/x
  3. Step 3: Cross multiply
    4,564.86x = 6,843.33 × 2,221.61
  4. Step 4: Simplify right side
    4,564.86x = 15,203,176.14
  5. Step 5: Solve for x
    x = 15,203,176.14/4,564.86
  6. Step 6: Final answer
    x = 3,330.48

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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.