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Finding the Fourth Proportional to 4,221.92, 5,825.93 and 2,453.66

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Solution

The fourth proportional to 4,221.92, 5,825.93 and 2,453.66 is: 3,385.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.92 : 5,825.93 = 2,453.66 : x
  2. Step 2: Convert to fraction form
    4,221.92/5,825.93 = 2,453.66/x
  3. Step 3: Cross multiply
    4,221.92x = 5,825.93 × 2,453.66
  4. Step 4: Simplify right side
    4,221.92x = 14,294,831.85
  5. Step 5: Solve for x
    x = 14,294,831.85/4,221.92
  6. Step 6: Final answer
    x = 3,385.86

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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.