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Finding the Fourth Proportional to 3,703.62, 5,110.89 and 2,024.97

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Solution

The fourth proportional to 3,703.62, 5,110.89 and 2,024.97 is: 2,794.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.62 : 5,110.89 = 2,024.97 : x
  2. Step 2: Convert to fraction form
    3,703.62/5,110.89 = 2,024.97/x
  3. Step 3: Cross multiply
    3,703.62x = 5,110.89 × 2,024.97
  4. Step 4: Simplify right side
    3,703.62x = 10,349,398.92
  5. Step 5: Solve for x
    x = 10,349,398.92/3,703.62
  6. Step 6: Final answer
    x = 2,794.40

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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.