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Finding the Fourth Proportional to 4,195.80, 5,784.21 and 2,867.40

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Solution

The fourth proportional to 4,195.80, 5,784.21 and 2,867.40 is: 3,952.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195.80 : 5,784.21 = 2,867.40 : x
  2. Step 2: Convert to fraction form
    4,195.80/5,784.21 = 2,867.40/x
  3. Step 3: Cross multiply
    4,195.80x = 5,784.21 × 2,867.40
  4. Step 4: Simplify right side
    4,195.80x = 16,585,643.75
  5. Step 5: Solve for x
    x = 16,585,643.75/4,195.80
  6. Step 6: Final answer
    x = 3,952.92

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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.