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Finding the Fourth Proportional to 4,735.93, 7,105.43 and 1,449.01

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Solution

The fourth proportional to 4,735.93, 7,105.43 and 1,449.01 is: 2,173.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.93 : 7,105.43 = 1,449.01 : x
  2. Step 2: Convert to fraction form
    4,735.93/7,105.43 = 1,449.01/x
  3. Step 3: Cross multiply
    4,735.93x = 7,105.43 × 1,449.01
  4. Step 4: Simplify right side
    4,735.93x = 10,295,839.12
  5. Step 5: Solve for x
    x = 10,295,839.12/4,735.93
  6. Step 6: Final answer
    x = 2,173.98

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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.