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Finding the Fourth Proportional to 4,865.21, 6,713.88 and 2,976.83

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Solution

The fourth proportional to 4,865.21, 6,713.88 and 2,976.83 is: 4,107.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865.21 : 6,713.88 = 2,976.83 : x
  2. Step 2: Convert to fraction form
    4,865.21/6,713.88 = 2,976.83/x
  3. Step 3: Cross multiply
    4,865.21x = 6,713.88 × 2,976.83
  4. Step 4: Simplify right side
    4,865.21x = 19,986,079.40
  5. Step 5: Solve for x
    x = 19,986,079.40/4,865.21
  6. Step 6: Final answer
    x = 4,107.96

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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.