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Finding the Fourth Proportional to 5,803.11, 8,696.87 and 3,166.67

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Solution

The fourth proportional to 5,803.11, 8,696.87 and 3,166.67 is: 4,745.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.11 : 8,696.87 = 3,166.67 : x
  2. Step 2: Convert to fraction form
    5,803.11/8,696.87 = 3,166.67/x
  3. Step 3: Cross multiply
    5,803.11x = 8,696.87 × 3,166.67
  4. Step 4: Simplify right side
    5,803.11x = 27,540,117.32
  5. Step 5: Solve for x
    x = 27,540,117.32/5,803.11
  6. Step 6: Final answer
    x = 4,745.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.