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Finding the Fourth Proportional to 4,778.57, 7,162.44 and 2,433.62

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Solution

The fourth proportional to 4,778.57, 7,162.44 and 2,433.62 is: 3,647.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.57 : 7,162.44 = 2,433.62 : x
  2. Step 2: Convert to fraction form
    4,778.57/7,162.44 = 2,433.62/x
  3. Step 3: Cross multiply
    4,778.57x = 7,162.44 × 2,433.62
  4. Step 4: Simplify right side
    4,778.57x = 17,430,639.41
  5. Step 5: Solve for x
    x = 17,430,639.41/4,778.57
  6. Step 6: Final answer
    x = 3,647.67

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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.