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Finding the Fourth Proportional to 4,706.82, 6,492.09 and 3,028.26

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Solution

The fourth proportional to 4,706.82, 6,492.09 and 3,028.26 is: 4,176.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.82 : 6,492.09 = 3,028.26 : x
  2. Step 2: Convert to fraction form
    4,706.82/6,492.09 = 3,028.26/x
  3. Step 3: Cross multiply
    4,706.82x = 6,492.09 × 3,028.26
  4. Step 4: Simplify right side
    4,706.82x = 19,659,736.46
  5. Step 5: Solve for x
    x = 19,659,736.46/4,706.82
  6. Step 6: Final answer
    x = 4,176.86

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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.