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Finding the Fourth Proportional to 3,751.80, 5,626.44 and 1,802.76

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Solution

The fourth proportional to 3,751.80, 5,626.44 and 1,802.76 is: 2,703.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.80 : 5,626.44 = 1,802.76 : x
  2. Step 2: Convert to fraction form
    3,751.80/5,626.44 = 1,802.76/x
  3. Step 3: Cross multiply
    3,751.80x = 5,626.44 × 1,802.76
  4. Step 4: Simplify right side
    3,751.80x = 10,143,120.97
  5. Step 5: Solve for x
    x = 10,143,120.97/3,751.80
  6. Step 6: Final answer
    x = 2,703.53

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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.