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Finding the Fourth Proportional to 3,703.44, 5,110.75 and 2,024.82

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Solution

The fourth proportional to 3,703.44, 5,110.75 and 2,024.82 is: 2,794.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.44 : 5,110.75 = 2,024.82 : x
  2. Step 2: Convert to fraction form
    3,703.44/5,110.75 = 2,024.82/x
  3. Step 3: Cross multiply
    3,703.44x = 5,110.75 × 2,024.82
  4. Step 4: Simplify right side
    3,703.44x = 10,348,348.82
  5. Step 5: Solve for x
    x = 10,348,348.82/3,703.44
  6. Step 6: Final answer
    x = 2,794.25

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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.