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Finding the Fourth Proportional to 4,188.51, 6,276.83 and 3,084.21

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Solution

The fourth proportional to 4,188.51, 6,276.83 and 3,084.21 is: 4,621.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.51 : 6,276.83 = 3,084.21 : x
  2. Step 2: Convert to fraction form
    4,188.51/6,276.83 = 3,084.21/x
  3. Step 3: Cross multiply
    4,188.51x = 6,276.83 × 3,084.21
  4. Step 4: Simplify right side
    4,188.51x = 19,359,046.43
  5. Step 5: Solve for x
    x = 19,359,046.43/4,188.51
  6. Step 6: Final answer
    x = 4,621.94

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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.