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Finding the Fourth Proportional to 3,873.08, 5,838.23 and 3,647.30

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Solution

The fourth proportional to 3,873.08, 5,838.23 and 3,647.30 is: 5,497.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.08 : 5,838.23 = 3,647.30 : x
  2. Step 2: Convert to fraction form
    3,873.08/5,838.23 = 3,647.30/x
  3. Step 3: Cross multiply
    3,873.08x = 5,838.23 × 3,647.30
  4. Step 4: Simplify right side
    3,873.08x = 21,293,756.21
  5. Step 5: Solve for x
    x = 21,293,756.21/3,873.08
  6. Step 6: Final answer
    x = 5,497.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.