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Finding the Fourth Proportional to 3,471.50, 5,210.92 and 3,393.16

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Solution

The fourth proportional to 3,471.50, 5,210.92 and 3,393.16 is: 5,093.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.50 : 5,210.92 = 3,393.16 : x
  2. Step 2: Convert to fraction form
    3,471.50/5,210.92 = 3,393.16/x
  3. Step 3: Cross multiply
    3,471.50x = 5,210.92 × 3,393.16
  4. Step 4: Simplify right side
    3,471.50x = 17,681,485.31
  5. Step 5: Solve for x
    x = 17,681,485.31/3,471.50
  6. Step 6: Final answer
    x = 5,093.33

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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.