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Finding the Fourth Proportional to 3,596.49, 4,958.69 and 2,969.55

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Solution

The fourth proportional to 3,596.49, 4,958.69 and 2,969.55 is: 4,094.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.49 : 4,958.69 = 2,969.55 : x
  2. Step 2: Convert to fraction form
    3,596.49/4,958.69 = 2,969.55/x
  3. Step 3: Cross multiply
    3,596.49x = 4,958.69 × 2,969.55
  4. Step 4: Simplify right side
    3,596.49x = 14,725,063.04
  5. Step 5: Solve for x
    x = 14,725,063.04/3,596.49
  6. Step 6: Final answer
    x = 4,094.29

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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.