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Finding the Fourth Proportional to 3,755.07, 5,631.26 and 1,289.23

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Solution

The fourth proportional to 3,755.07, 5,631.26 and 1,289.23 is: 1,933.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.07 : 5,631.26 = 1,289.23 : x
  2. Step 2: Convert to fraction form
    3,755.07/5,631.26 = 1,289.23/x
  3. Step 3: Cross multiply
    3,755.07x = 5,631.26 × 1,289.23
  4. Step 4: Simplify right side
    3,755.07x = 7,259,968.81
  5. Step 5: Solve for x
    x = 7,259,968.81/3,755.07
  6. Step 6: Final answer
    x = 1,933.38

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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.