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Finding the Fourth Proportional to 3,749.66, 5,625.69 and 1,802

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Solution

The fourth proportional to 3,749.66, 5,625.69 and 1,802 is: 2,703.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.66 : 5,625.69 = 1,802 : x
  2. Step 2: Convert to fraction form
    3,749.66/5,625.69 = 1,802/x
  3. Step 3: Cross multiply
    3,749.66x = 5,625.69 × 1,802
  4. Step 4: Simplify right side
    3,749.66x = 10,137,493.38
  5. Step 5: Solve for x
    x = 10,137,493.38/3,749.66
  6. Step 6: Final answer
    x = 2,703.58

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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.