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Finding the Fourth Proportional to 6,480.24, 8,942.51 and 3,647.67

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Solution

The fourth proportional to 6,480.24, 8,942.51 and 3,647.67 is: 5,033.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.24 : 8,942.51 = 3,647.67 : x
  2. Step 2: Convert to fraction form
    6,480.24/8,942.51 = 3,647.67/x
  3. Step 3: Cross multiply
    6,480.24x = 8,942.51 × 3,647.67
  4. Step 4: Simplify right side
    6,480.24x = 32,619,307.21
  5. Step 5: Solve for x
    x = 32,619,307.21/6,480.24
  6. Step 6: Final answer
    x = 5,033.66

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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.