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Finding the Fourth Proportional to 4,792.40, 7,181.58 and 3,408.40

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Solution

The fourth proportional to 4,792.40, 7,181.58 and 3,408.40 is: 5,107.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792.40 : 7,181.58 = 3,408.40 : x
  2. Step 2: Convert to fraction form
    4,792.40/7,181.58 = 3,408.40/x
  3. Step 3: Cross multiply
    4,792.40x = 7,181.58 × 3,408.40
  4. Step 4: Simplify right side
    4,792.40x = 24,477,697.27
  5. Step 5: Solve for x
    x = 24,477,697.27/4,792.40
  6. Step 6: Final answer
    x = 5,107.61

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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.