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Finding the Fourth Proportional to 3,852.09, 5,765.81 and 2,000.67

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Solution

The fourth proportional to 3,852.09, 5,765.81 and 2,000.67 is: 2,994.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.09 : 5,765.81 = 2,000.67 : x
  2. Step 2: Convert to fraction form
    3,852.09/5,765.81 = 2,000.67/x
  3. Step 3: Cross multiply
    3,852.09x = 5,765.81 × 2,000.67
  4. Step 4: Simplify right side
    3,852.09x = 11,535,483.09
  5. Step 5: Solve for x
    x = 11,535,483.09/3,852.09
  6. Step 6: Final answer
    x = 2,994.60

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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.