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Finding the Fourth Proportional to 3,738.84, 5,158.91 and 2,322.92

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Solution

The fourth proportional to 3,738.84, 5,158.91 and 2,322.92 is: 3,205.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.84 : 5,158.91 = 2,322.92 : x
  2. Step 2: Convert to fraction form
    3,738.84/5,158.91 = 2,322.92/x
  3. Step 3: Cross multiply
    3,738.84x = 5,158.91 × 2,322.92
  4. Step 4: Simplify right side
    3,738.84x = 11,983,697.81
  5. Step 5: Solve for x
    x = 11,983,697.81/3,738.84
  6. Step 6: Final answer
    x = 3,205.19

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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.