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Finding the Fourth Proportional to 3,474.81, 5,211.09 and 1,008.93

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Solution

The fourth proportional to 3,474.81, 5,211.09 and 1,008.93 is: 1,513.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.81 : 5,211.09 = 1,008.93 : x
  2. Step 2: Convert to fraction form
    3,474.81/5,211.09 = 1,008.93/x
  3. Step 3: Cross multiply
    3,474.81x = 5,211.09 × 1,008.93
  4. Step 4: Simplify right side
    3,474.81x = 5,257,625.03
  5. Step 5: Solve for x
    x = 5,257,625.03/3,474.81
  6. Step 6: Final answer
    x = 1,513.07

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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.