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Finding the Fourth Proportional to 4,813.80, 7,211.07 and 3,165.33

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Solution

The fourth proportional to 4,813.80, 7,211.07 and 3,165.33 is: 4,741.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813.80 : 7,211.07 = 3,165.33 : x
  2. Step 2: Convert to fraction form
    4,813.80/7,211.07 = 3,165.33/x
  3. Step 3: Cross multiply
    4,813.80x = 7,211.07 × 3,165.33
  4. Step 4: Simplify right side
    4,813.80x = 22,825,416.20
  5. Step 5: Solve for x
    x = 22,825,416.20/4,813.80
  6. Step 6: Final answer
    x = 4,741.66

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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.