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Finding the Fourth Proportional to 3,772.87, 5,659.37 and 1,307.77

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Solution

The fourth proportional to 3,772.87, 5,659.37 and 1,307.77 is: 1,961.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.87 : 5,659.37 = 1,307.77 : x
  2. Step 2: Convert to fraction form
    3,772.87/5,659.37 = 1,307.77/x
  3. Step 3: Cross multiply
    3,772.87x = 5,659.37 × 1,307.77
  4. Step 4: Simplify right side
    3,772.87x = 7,401,138.52
  5. Step 5: Solve for x
    x = 7,401,138.52/3,772.87
  6. Step 6: Final answer
    x = 1,961.67

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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.