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Finding the Fourth Proportional to 4,696.20, 7,047.84 and 3,211.88

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Solution

The fourth proportional to 4,696.20, 7,047.84 and 3,211.88 is: 4,820.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.20 : 7,047.84 = 3,211.88 : x
  2. Step 2: Convert to fraction form
    4,696.20/7,047.84 = 3,211.88/x
  3. Step 3: Cross multiply
    4,696.20x = 7,047.84 × 3,211.88
  4. Step 4: Simplify right side
    4,696.20x = 22,636,781.10
  5. Step 5: Solve for x
    x = 22,636,781.10/4,696.20
  6. Step 6: Final answer
    x = 4,820.23

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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.