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Finding the Fourth Proportional to 4,736.07, 7,104.33 and 1,449.18

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Solution

The fourth proportional to 4,736.07, 7,104.33 and 1,449.18 is: 2,173.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.07 : 7,104.33 = 1,449.18 : x
  2. Step 2: Convert to fraction form
    4,736.07/7,104.33 = 1,449.18/x
  3. Step 3: Cross multiply
    4,736.07x = 7,104.33 × 1,449.18
  4. Step 4: Simplify right side
    4,736.07x = 10,295,452.95
  5. Step 5: Solve for x
    x = 10,295,452.95/4,736.07
  6. Step 6: Final answer
    x = 2,173.84

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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.