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Finding the Fourth Proportional to 3,165.57, 4,738.03 and 2,862.43

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Solution

The fourth proportional to 3,165.57, 4,738.03 and 2,862.43 is: 4,284.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.57 : 4,738.03 = 2,862.43 : x
  2. Step 2: Convert to fraction form
    3,165.57/4,738.03 = 2,862.43/x
  3. Step 3: Cross multiply
    3,165.57x = 4,738.03 × 2,862.43
  4. Step 4: Simplify right side
    3,165.57x = 13,562,260.21
  5. Step 5: Solve for x
    x = 13,562,260.21/3,165.57
  6. Step 6: Final answer
    x = 4,284.30

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Why These Related Problems?

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