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Finding the Fourth Proportional to 3,797.61, 5,240.43 and 2,119.16

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Solution

The fourth proportional to 3,797.61, 5,240.43 and 2,119.16 is: 2,924.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.61 : 5,240.43 = 2,119.16 : x
  2. Step 2: Convert to fraction form
    3,797.61/5,240.43 = 2,119.16/x
  3. Step 3: Cross multiply
    3,797.61x = 5,240.43 × 2,119.16
  4. Step 4: Simplify right side
    3,797.61x = 11,105,283.44
  5. Step 5: Solve for x
    x = 11,105,283.44/3,797.61
  6. Step 6: Final answer
    x = 2,924.28

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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.