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Finding the Fourth Proportional to 3,913.30, 5,399.22 and 2,319.22

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Solution

The fourth proportional to 3,913.30, 5,399.22 and 2,319.22 is: 3,199.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.30 : 5,399.22 = 2,319.22 : x
  2. Step 2: Convert to fraction form
    3,913.30/5,399.22 = 2,319.22/x
  3. Step 3: Cross multiply
    3,913.30x = 5,399.22 × 2,319.22
  4. Step 4: Simplify right side
    3,913.30x = 12,521,979.01
  5. Step 5: Solve for x
    x = 12,521,979.01/3,913.30
  6. Step 6: Final answer
    x = 3,199.85

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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.