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Finding the Fourth Proportional to 4,826.28, 6,706.29 and 4,806.84

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Solution

The fourth proportional to 4,826.28, 6,706.29 and 4,806.84 is: 6,679.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,826.28 : 6,706.29 = 4,806.84 : x
  2. Step 2: Convert to fraction form
    4,826.28/6,706.29 = 4,806.84/x
  3. Step 3: Cross multiply
    4,826.28x = 6,706.29 × 4,806.84
  4. Step 4: Simplify right side
    4,826.28x = 32,236,063.02
  5. Step 5: Solve for x
    x = 32,236,063.02/4,826.28
  6. Step 6: Final answer
    x = 6,679.28

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.