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Finding the Fourth Proportional to 4,738.89, 7,100.50 and 2,884.40

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Solution

The fourth proportional to 4,738.89, 7,100.50 and 2,884.40 is: 4,321.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.89 : 7,100.50 = 2,884.40 : x
  2. Step 2: Convert to fraction form
    4,738.89/7,100.50 = 2,884.40/x
  3. Step 3: Cross multiply
    4,738.89x = 7,100.50 × 2,884.40
  4. Step 4: Simplify right side
    4,738.89x = 20,480,682.20
  5. Step 5: Solve for x
    x = 20,480,682.20/4,738.89
  6. Step 6: Final answer
    x = 4,321.83

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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.