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Finding the Fourth Proportional to 3,299.44, 4,559 and 2,596.86

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Solution

The fourth proportional to 3,299.44, 4,559 and 2,596.86 is: 3,588.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.44 : 4,559 = 2,596.86 : x
  2. Step 2: Convert to fraction form
    3,299.44/4,559 = 2,596.86/x
  3. Step 3: Cross multiply
    3,299.44x = 4,559 × 2,596.86
  4. Step 4: Simplify right side
    3,299.44x = 11,839,084.74
  5. Step 5: Solve for x
    x = 11,839,084.74/3,299.44
  6. Step 6: Final answer
    x = 3,588.21

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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.