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Finding the Fourth Proportional to 3,755.72, 5,627.37 and 1,289.18

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Solution

The fourth proportional to 3,755.72, 5,627.37 and 1,289.18 is: 1,931.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.72 : 5,627.37 = 1,289.18 : x
  2. Step 2: Convert to fraction form
    3,755.72/5,627.37 = 1,289.18/x
  3. Step 3: Cross multiply
    3,755.72x = 5,627.37 × 1,289.18
  4. Step 4: Simplify right side
    3,755.72x = 7,254,692.86
  5. Step 5: Solve for x
    x = 7,254,692.86/3,755.72
  6. Step 6: Final answer
    x = 1,931.64

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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.