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Finding the Fourth Proportional to 3,496.74, 5,252.40 and 2,949.99

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Solution

The fourth proportional to 3,496.74, 5,252.40 and 2,949.99 is: 4,431.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.74 : 5,252.40 = 2,949.99 : x
  2. Step 2: Convert to fraction form
    3,496.74/5,252.40 = 2,949.99/x
  3. Step 3: Cross multiply
    3,496.74x = 5,252.40 × 2,949.99
  4. Step 4: Simplify right side
    3,496.74x = 15,494,527.48
  5. Step 5: Solve for x
    x = 15,494,527.48/3,496.74
  6. Step 6: Final answer
    x = 4,431.14

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Why These Related Problems?

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