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Finding the Fourth Proportional to 3,735.95, 5,604.37 and 1,546.22

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Solution

The fourth proportional to 3,735.95, 5,604.37 and 1,546.22 is: 2,319.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.95 : 5,604.37 = 1,546.22 : x
  2. Step 2: Convert to fraction form
    3,735.95/5,604.37 = 1,546.22/x
  3. Step 3: Cross multiply
    3,735.95x = 5,604.37 × 1,546.22
  4. Step 4: Simplify right side
    3,735.95x = 8,665,599.13
  5. Step 5: Solve for x
    x = 8,665,599.13/3,735.95
  6. Step 6: Final answer
    x = 2,319.52

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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.