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Finding the Fourth Proportional to 3,783.60, 5,673.67 and 1,591.13

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Solution

The fourth proportional to 3,783.60, 5,673.67 and 1,591.13 is: 2,385.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.60 : 5,673.67 = 1,591.13 : x
  2. Step 2: Convert to fraction form
    3,783.60/5,673.67 = 1,591.13/x
  3. Step 3: Cross multiply
    3,783.60x = 5,673.67 × 1,591.13
  4. Step 4: Simplify right side
    3,783.60x = 9,027,546.55
  5. Step 5: Solve for x
    x = 9,027,546.55/3,783.60
  6. Step 6: Final answer
    x = 2,385.97

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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.