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Finding the Fourth Proportional to 5,885.79, 8,113.82 and 4,204.23

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Solution

The fourth proportional to 5,885.79, 8,113.82 and 4,204.23 is: 5,795.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,885.79 : 8,113.82 = 4,204.23 : x
  2. Step 2: Convert to fraction form
    5,885.79/8,113.82 = 4,204.23/x
  3. Step 3: Cross multiply
    5,885.79x = 8,113.82 × 4,204.23
  4. Step 4: Simplify right side
    5,885.79x = 34,112,344.44
  5. Step 5: Solve for x
    x = 34,112,344.44/5,885.79
  6. Step 6: Final answer
    x = 5,795.71

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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.