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Finding the Fourth Proportional to 5,945.02, 8,241.67 and 5,629

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Solution

The fourth proportional to 5,945.02, 8,241.67 and 5,629 is: 7,803.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.02 : 8,241.67 = 5,629 : x
  2. Step 2: Convert to fraction form
    5,945.02/8,241.67 = 5,629/x
  3. Step 3: Cross multiply
    5,945.02x = 8,241.67 × 5,629
  4. Step 4: Simplify right side
    5,945.02x = 46,392,360.43
  5. Step 5: Solve for x
    x = 46,392,360.43/5,945.02
  6. Step 6: Final answer
    x = 7,803.57

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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.