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Finding the Fourth Proportional to 4,074.14, 5,661.16 and 4,057.74

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Solution

The fourth proportional to 4,074.14, 5,661.16 and 4,057.74 is: 5,638.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.14 : 5,661.16 = 4,057.74 : x
  2. Step 2: Convert to fraction form
    4,074.14/5,661.16 = 4,057.74/x
  3. Step 3: Cross multiply
    4,074.14x = 5,661.16 × 4,057.74
  4. Step 4: Simplify right side
    4,074.14x = 22,971,505.23
  5. Step 5: Solve for x
    x = 22,971,505.23/4,074.14
  6. Step 6: Final answer
    x = 5,638.37

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.