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Finding the Fourth Proportional to 3,765.00, 5,643.45 and 1,682.15

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Solution

The fourth proportional to 3,765.00, 5,643.45 and 1,682.15 is: 2,521.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.00 : 5,643.45 = 1,682.15 : x
  2. Step 2: Convert to fraction form
    3,765.00/5,643.45 = 1,682.15/x
  3. Step 3: Cross multiply
    3,765.00x = 5,643.45 × 1,682.15
  4. Step 4: Simplify right side
    3,765.00x = 9,493,101.20
  5. Step 5: Solve for x
    x = 9,493,101.20/3,765.00
  6. Step 6: Final answer
    x = 2,521.41

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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.