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Finding the Fourth Proportional to 3,703.50, 5,110.62 and 2,024.58

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Solution

The fourth proportional to 3,703.50, 5,110.62 and 2,024.58 is: 2,793.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.50 : 5,110.62 = 2,024.58 : x
  2. Step 2: Convert to fraction form
    3,703.50/5,110.62 = 2,024.58/x
  3. Step 3: Cross multiply
    3,703.50x = 5,110.62 × 2,024.58
  4. Step 4: Simplify right side
    3,703.50x = 10,346,859.04
  5. Step 5: Solve for x
    x = 10,346,859.04/3,703.50
  6. Step 6: Final answer
    x = 2,793.81

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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.