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Finding the Fourth Proportional to 3,567.73, 4,922.43 and 2,150.74

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Solution

The fourth proportional to 3,567.73, 4,922.43 and 2,150.74 is: 2,967.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.73 : 4,922.43 = 2,150.74 : x
  2. Step 2: Convert to fraction form
    3,567.73/4,922.43 = 2,150.74/x
  3. Step 3: Cross multiply
    3,567.73x = 4,922.43 × 2,150.74
  4. Step 4: Simplify right side
    3,567.73x = 10,586,867.10
  5. Step 5: Solve for x
    x = 10,586,867.10/3,567.73
  6. Step 6: Final answer
    x = 2,967.40

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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.