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Finding the Fourth Proportional to 3,763.49, 5,195.76 and 2,272.01

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Solution

The fourth proportional to 3,763.49, 5,195.76 and 2,272.01 is: 3,136.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.49 : 5,195.76 = 2,272.01 : x
  2. Step 2: Convert to fraction form
    3,763.49/5,195.76 = 2,272.01/x
  3. Step 3: Cross multiply
    3,763.49x = 5,195.76 × 2,272.01
  4. Step 4: Simplify right side
    3,763.49x = 11,804,818.68
  5. Step 5: Solve for x
    x = 11,804,818.68/3,763.49
  6. Step 6: Final answer
    x = 3,136.67

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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.