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Finding the Fourth Proportional to 3,792.08, 5,684.25 and 2,406.44

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Solution

The fourth proportional to 3,792.08, 5,684.25 and 2,406.44 is: 3,607.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.08 : 5,684.25 = 2,406.44 : x
  2. Step 2: Convert to fraction form
    3,792.08/5,684.25 = 2,406.44/x
  3. Step 3: Cross multiply
    3,792.08x = 5,684.25 × 2,406.44
  4. Step 4: Simplify right side
    3,792.08x = 13,678,806.57
  5. Step 5: Solve for x
    x = 13,678,806.57/3,792.08
  6. Step 6: Final answer
    x = 3,607.20

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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.