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Finding the Fourth Proportional to 6,299.80, 8,695.22 and 3,648.67

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Solution

The fourth proportional to 6,299.80, 8,695.22 and 3,648.67 is: 5,036.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.80 : 8,695.22 = 3,648.67 : x
  2. Step 2: Convert to fraction form
    6,299.80/8,695.22 = 3,648.67/x
  3. Step 3: Cross multiply
    6,299.80x = 8,695.22 × 3,648.67
  4. Step 4: Simplify right side
    6,299.80x = 31,725,948.38
  5. Step 5: Solve for x
    x = 31,725,948.38/6,299.80
  6. Step 6: Final answer
    x = 5,036.03

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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.