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Finding the Fourth Proportional to 4,596.69, 6,896.09 and 3,663.15

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Solution

The fourth proportional to 4,596.69, 6,896.09 and 3,663.15 is: 5,495.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.69 : 6,896.09 = 3,663.15 : x
  2. Step 2: Convert to fraction form
    4,596.69/6,896.09 = 3,663.15/x
  3. Step 3: Cross multiply
    4,596.69x = 6,896.09 × 3,663.15
  4. Step 4: Simplify right side
    4,596.69x = 25,261,393.77
  5. Step 5: Solve for x
    x = 25,261,393.77/4,596.69
  6. Step 6: Final answer
    x = 5,495.56

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