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Finding the Fourth Proportional to 4,778.94, 7,143.16 and 4,309.54

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Solution

The fourth proportional to 4,778.94, 7,143.16 and 4,309.54 is: 6,441.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.94 : 7,143.16 = 4,309.54 : x
  2. Step 2: Convert to fraction form
    4,778.94/7,143.16 = 4,309.54/x
  3. Step 3: Cross multiply
    4,778.94x = 7,143.16 × 4,309.54
  4. Step 4: Simplify right side
    4,778.94x = 30,783,733.75
  5. Step 5: Solve for x
    x = 30,783,733.75/4,778.94
  6. Step 6: Final answer
    x = 6,441.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.