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Finding the Fourth Proportional to 6,299.75, 8,693.66 and 3,647.30

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Solution

The fourth proportional to 6,299.75, 8,693.66 and 3,647.30 is: 5,033.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.75 : 8,693.66 = 3,647.30 : x
  2. Step 2: Convert to fraction form
    6,299.75/8,693.66 = 3,647.30/x
  3. Step 3: Cross multiply
    6,299.75x = 8,693.66 × 3,647.30
  4. Step 4: Simplify right side
    6,299.75x = 31,708,386.12
  5. Step 5: Solve for x
    x = 31,708,386.12/6,299.75
  6. Step 6: Final answer
    x = 5,033.28

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