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Finding the Fourth Proportional to 3,797.15, 5,238.74 and 2,302.49

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Solution

The fourth proportional to 3,797.15, 5,238.74 and 2,302.49 is: 3,176.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.15 : 5,238.74 = 2,302.49 : x
  2. Step 2: Convert to fraction form
    3,797.15/5,238.74 = 2,302.49/x
  3. Step 3: Cross multiply
    3,797.15x = 5,238.74 × 2,302.49
  4. Step 4: Simplify right side
    3,797.15x = 12,062,165.32
  5. Step 5: Solve for x
    x = 12,062,165.32/3,797.15
  6. Step 6: Final answer
    x = 3,176.64

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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.