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Finding the Fourth Proportional to 4,223.96, 5,829.15 and 2,335.66

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Solution

The fourth proportional to 4,223.96, 5,829.15 and 2,335.66 is: 3,223.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.96 : 5,829.15 = 2,335.66 : x
  2. Step 2: Convert to fraction form
    4,223.96/5,829.15 = 2,335.66/x
  3. Step 3: Cross multiply
    4,223.96x = 5,829.15 × 2,335.66
  4. Step 4: Simplify right side
    4,223.96x = 13,614,912.49
  5. Step 5: Solve for x
    x = 13,614,912.49/4,223.96
  6. Step 6: Final answer
    x = 3,223.26

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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.