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Finding the Fourth Proportional to 4,709.53, 7,057.41 and 2,627.02

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Solution

The fourth proportional to 4,709.53, 7,057.41 and 2,627.02 is: 3,936.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.53 : 7,057.41 = 2,627.02 : x
  2. Step 2: Convert to fraction form
    4,709.53/7,057.41 = 2,627.02/x
  3. Step 3: Cross multiply
    4,709.53x = 7,057.41 × 2,627.02
  4. Step 4: Simplify right side
    4,709.53x = 18,539,957.22
  5. Step 5: Solve for x
    x = 18,539,957.22/4,709.53
  6. Step 6: Final answer
    x = 3,936.69

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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.