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Finding the Fourth Proportional to 3,796.40, 5,695.28 and 1,820.35

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Solution

The fourth proportional to 3,796.40, 5,695.28 and 1,820.35 is: 2,730.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.40 : 5,695.28 = 1,820.35 : x
  2. Step 2: Convert to fraction form
    3,796.40/5,695.28 = 1,820.35/x
  3. Step 3: Cross multiply
    3,796.40x = 5,695.28 × 1,820.35
  4. Step 4: Simplify right side
    3,796.40x = 10,367,402.95
  5. Step 5: Solve for x
    x = 10,367,402.95/3,796.40
  6. Step 6: Final answer
    x = 2,730.85

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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.