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Finding the Fourth Proportional to 3,749.22, 5,626.56 and 1,802.79

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Solution

The fourth proportional to 3,749.22, 5,626.56 and 1,802.79 is: 2,705.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.22 : 5,626.56 = 1,802.79 : x
  2. Step 2: Convert to fraction form
    3,749.22/5,626.56 = 1,802.79/x
  3. Step 3: Cross multiply
    3,749.22x = 5,626.56 × 1,802.79
  4. Step 4: Simplify right side
    3,749.22x = 10,143,506.10
  5. Step 5: Solve for x
    x = 10,143,506.10/3,749.22
  6. Step 6: Final answer
    x = 2,705.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.