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Finding the Fourth Proportional to 3,475.80, 5,213.97 and 1,010.66

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Solution

The fourth proportional to 3,475.80, 5,213.97 and 1,010.66 is: 1,516.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.80 : 5,213.97 = 1,010.66 : x
  2. Step 2: Convert to fraction form
    3,475.80/5,213.97 = 1,010.66/x
  3. Step 3: Cross multiply
    3,475.80x = 5,213.97 × 1,010.66
  4. Step 4: Simplify right side
    3,475.80x = 5,269,550.92
  5. Step 5: Solve for x
    x = 5,269,550.92/3,475.80
  6. Step 6: Final answer
    x = 1,516.07

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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.