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Finding the Fourth Proportional to 4,188.75, 6,282.21 and 2,078.28

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Solution

The fourth proportional to 4,188.75, 6,282.21 and 2,078.28 is: 3,116.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.75 : 6,282.21 = 2,078.28 : x
  2. Step 2: Convert to fraction form
    4,188.75/6,282.21 = 2,078.28/x
  3. Step 3: Cross multiply
    4,188.75x = 6,282.21 × 2,078.28
  4. Step 4: Simplify right side
    4,188.75x = 13,056,191.40
  5. Step 5: Solve for x
    x = 13,056,191.40/4,188.75
  6. Step 6: Final answer
    x = 3,116.97

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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.