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Finding the Fourth Proportional to 4,297.64, 5,926.74 and 2,722.92

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Solution

The fourth proportional to 4,297.64, 5,926.74 and 2,722.92 is: 3,755.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.64 : 5,926.74 = 2,722.92 : x
  2. Step 2: Convert to fraction form
    4,297.64/5,926.74 = 2,722.92/x
  3. Step 3: Cross multiply
    4,297.64x = 5,926.74 × 2,722.92
  4. Step 4: Simplify right side
    4,297.64x = 16,138,038.88
  5. Step 5: Solve for x
    x = 16,138,038.88/4,297.64
  6. Step 6: Final answer
    x = 3,755.09

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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.