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Finding the Fourth Proportional to 3,567.30, 4,922.16 and 2,074.98

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Solution

The fourth proportional to 3,567.30, 4,922.16 and 2,074.98 is: 2,863.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.30 : 4,922.16 = 2,074.98 : x
  2. Step 2: Convert to fraction form
    3,567.30/4,922.16 = 2,074.98/x
  3. Step 3: Cross multiply
    3,567.30x = 4,922.16 × 2,074.98
  4. Step 4: Simplify right side
    3,567.30x = 10,213,383.56
  5. Step 5: Solve for x
    x = 10,213,383.56/3,567.30
  6. Step 6: Final answer
    x = 2,863.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.