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Finding the Fourth Proportional to 3,792.08, 5,678.62 and 2,401.22

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Solution

The fourth proportional to 3,792.08, 5,678.62 and 2,401.22 is: 3,595.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.08 : 5,678.62 = 2,401.22 : x
  2. Step 2: Convert to fraction form
    3,792.08/5,678.62 = 2,401.22/x
  3. Step 3: Cross multiply
    3,792.08x = 5,678.62 × 2,401.22
  4. Step 4: Simplify right side
    3,792.08x = 13,635,615.92
  5. Step 5: Solve for x
    x = 13,635,615.92/3,792.08
  6. Step 6: Final answer
    x = 3,595.81

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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.