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Finding the Fourth Proportional to 3,074.42, 4,609.86 and 2,813.18

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Solution

The fourth proportional to 3,074.42, 4,609.86 and 2,813.18 is: 4,218.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.42 : 4,609.86 = 2,813.18 : x
  2. Step 2: Convert to fraction form
    3,074.42/4,609.86 = 2,813.18/x
  3. Step 3: Cross multiply
    3,074.42x = 4,609.86 × 2,813.18
  4. Step 4: Simplify right side
    3,074.42x = 12,968,365.95
  5. Step 5: Solve for x
    x = 12,968,365.95/3,074.42
  6. Step 6: Final answer
    x = 4,218.15

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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.