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Finding the Fourth Proportional to 5,824.54, 8,020.38 and 5,217.67

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Solution

The fourth proportional to 5,824.54, 8,020.38 and 5,217.67 is: 7,184.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.54 : 8,020.38 = 5,217.67 : x
  2. Step 2: Convert to fraction form
    5,824.54/8,020.38 = 5,217.67/x
  3. Step 3: Cross multiply
    5,824.54x = 8,020.38 × 5,217.67
  4. Step 4: Simplify right side
    5,824.54x = 41,847,696.11
  5. Step 5: Solve for x
    x = 41,847,696.11/5,824.54
  6. Step 6: Final answer
    x = 7,184.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.