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Finding the Fourth Proportional to 4,738.96, 7,106.04 and 2,765.23

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Solution

The fourth proportional to 4,738.96, 7,106.04 and 2,765.23 is: 4,146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.96 : 7,106.04 = 2,765.23 : x
  2. Step 2: Convert to fraction form
    4,738.96/7,106.04 = 2,765.23/x
  3. Step 3: Cross multiply
    4,738.96x = 7,106.04 × 2,765.23
  4. Step 4: Simplify right side
    4,738.96x = 19,649,834.99
  5. Step 5: Solve for x
    x = 19,649,834.99/4,738.96
  6. Step 6: Final answer
    x = 4,146.44

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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.