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Finding the Fourth Proportional to 3,802.75, 5,217.77 and 3,593.77

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Solution

The fourth proportional to 3,802.75, 5,217.77 and 3,593.77 is: 4,931.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.75 : 5,217.77 = 3,593.77 : x
  2. Step 2: Convert to fraction form
    3,802.75/5,217.77 = 3,593.77/x
  3. Step 3: Cross multiply
    3,802.75x = 5,217.77 × 3,593.77
  4. Step 4: Simplify right side
    3,802.75x = 18,751,465.29
  5. Step 5: Solve for x
    x = 18,751,465.29/3,802.75
  6. Step 6: Final answer
    x = 4,931.03

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.