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Finding the Fourth Proportional to 4,696.97, 6,478.88 and 3,020.56

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Solution

The fourth proportional to 4,696.97, 6,478.88 and 3,020.56 is: 4,166.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.97 : 6,478.88 = 3,020.56 : x
  2. Step 2: Convert to fraction form
    4,696.97/6,478.88 = 3,020.56/x
  3. Step 3: Cross multiply
    4,696.97x = 6,478.88 × 3,020.56
  4. Step 4: Simplify right side
    4,696.97x = 19,569,853.32
  5. Step 5: Solve for x
    x = 19,569,853.32/4,696.97
  6. Step 6: Final answer
    x = 4,166.49

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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.