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Finding the Fourth Proportional to 3,207.96, 4,810.26 and 1,474.68

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Solution

The fourth proportional to 3,207.96, 4,810.26 and 1,474.68 is: 2,211.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.96 : 4,810.26 = 1,474.68 : x
  2. Step 2: Convert to fraction form
    3,207.96/4,810.26 = 1,474.68/x
  3. Step 3: Cross multiply
    3,207.96x = 4,810.26 × 1,474.68
  4. Step 4: Simplify right side
    3,207.96x = 7,093,594.22
  5. Step 5: Solve for x
    x = 7,093,594.22/3,207.96
  6. Step 6: Final answer
    x = 2,211.25

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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.