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Finding the Fourth Proportional to 4,733.70, 7,101.07 and 1,271.22

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Solution

The fourth proportional to 4,733.70, 7,101.07 and 1,271.22 is: 1,906.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733.70 : 7,101.07 = 1,271.22 : x
  2. Step 2: Convert to fraction form
    4,733.70/7,101.07 = 1,271.22/x
  3. Step 3: Cross multiply
    4,733.70x = 7,101.07 × 1,271.22
  4. Step 4: Simplify right side
    4,733.70x = 9,027,022.21
  5. Step 5: Solve for x
    x = 9,027,022.21/4,733.70
  6. Step 6: Final answer
    x = 1,906.97

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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.