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Finding the Fourth Proportional to 6,299.77, 8,693.87 and 3,648.01

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Solution

The fourth proportional to 6,299.77, 8,693.87 and 3,648.01 is: 5,034.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.77 : 8,693.87 = 3,648.01 : x
  2. Step 2: Convert to fraction form
    6,299.77/8,693.87 = 3,648.01/x
  3. Step 3: Cross multiply
    6,299.77x = 8,693.87 × 3,648.01
  4. Step 4: Simplify right side
    6,299.77x = 31,715,324.70
  5. Step 5: Solve for x
    x = 31,715,324.70/6,299.77
  6. Step 6: Final answer
    x = 5,034.36

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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.