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Finding the Fourth Proportional to 5,964.87, 8,225.76 and 3,838.23

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Solution

The fourth proportional to 5,964.87, 8,225.76 and 3,838.23 is: 5,293.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.87 : 8,225.76 = 3,838.23 : x
  2. Step 2: Convert to fraction form
    5,964.87/8,225.76 = 3,838.23/x
  3. Step 3: Cross multiply
    5,964.87x = 8,225.76 × 3,838.23
  4. Step 4: Simplify right side
    5,964.87x = 31,572,358.80
  5. Step 5: Solve for x
    x = 31,572,358.80/5,964.87
  6. Step 6: Final answer
    x = 5,293.05

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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.