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Finding the Fourth Proportional to 4,696.89, 7,040.01 and 3,649.11

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Solution

The fourth proportional to 4,696.89, 7,040.01 and 3,649.11 is: 5,469.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.89 : 7,040.01 = 3,649.11 : x
  2. Step 2: Convert to fraction form
    4,696.89/7,040.01 = 3,649.11/x
  3. Step 3: Cross multiply
    4,696.89x = 7,040.01 × 3,649.11
  4. Step 4: Simplify right side
    4,696.89x = 25,689,770.89
  5. Step 5: Solve for x
    x = 25,689,770.89/4,696.89
  6. Step 6: Final answer
    x = 5,469.53

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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.