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Finding the Fourth Proportional to 3,723.79, 5,138.82 and 2,045.22

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Solution

The fourth proportional to 3,723.79, 5,138.82 and 2,045.22 is: 2,822.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723.79 : 5,138.82 = 2,045.22 : x
  2. Step 2: Convert to fraction form
    3,723.79/5,138.82 = 2,045.22/x
  3. Step 3: Cross multiply
    3,723.79x = 5,138.82 × 2,045.22
  4. Step 4: Simplify right side
    3,723.79x = 10,510,017.44
  5. Step 5: Solve for x
    x = 10,510,017.44/3,723.79
  6. Step 6: Final answer
    x = 2,822.40

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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.