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Finding the Fourth Proportional to 3,540.29, 5,300.17 and 3,165.08

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Solution

The fourth proportional to 3,540.29, 5,300.17 and 3,165.08 is: 4,738.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.29 : 5,300.17 = 3,165.08 : x
  2. Step 2: Convert to fraction form
    3,540.29/5,300.17 = 3,165.08/x
  3. Step 3: Cross multiply
    3,540.29x = 5,300.17 × 3,165.08
  4. Step 4: Simplify right side
    3,540.29x = 16,775,448.81
  5. Step 5: Solve for x
    x = 16,775,448.81/3,540.29
  6. Step 6: Final answer
    x = 4,738.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.