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Finding the Fourth Proportional to 3,797.49, 5,242.95 and 2,911.62

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Solution

The fourth proportional to 3,797.49, 5,242.95 and 2,911.62 is: 4,019.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.49 : 5,242.95 = 2,911.62 : x
  2. Step 2: Convert to fraction form
    3,797.49/5,242.95 = 2,911.62/x
  3. Step 3: Cross multiply
    3,797.49x = 5,242.95 × 2,911.62
  4. Step 4: Simplify right side
    3,797.49x = 15,265,478.08
  5. Step 5: Solve for x
    x = 15,265,478.08/3,797.49
  6. Step 6: Final answer
    x = 4,019.89

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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.