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Finding the Fourth Proportional to 4,696.11, 7,047.71 and 3,211.78

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Solution

The fourth proportional to 4,696.11, 7,047.71 and 3,211.78 is: 4,820.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.11 : 7,047.71 = 3,211.78 : x
  2. Step 2: Convert to fraction form
    4,696.11/7,047.71 = 3,211.78/x
  3. Step 3: Cross multiply
    4,696.11x = 7,047.71 × 3,211.78
  4. Step 4: Simplify right side
    4,696.11x = 22,635,694.02
  5. Step 5: Solve for x
    x = 22,635,694.02/4,696.11
  6. Step 6: Final answer
    x = 4,820.10

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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.