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Finding the Fourth Proportional to 3,493.28, 4,820.72 and 1,921.34

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Solution

The fourth proportional to 3,493.28, 4,820.72 and 1,921.34 is: 2,651.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.28 : 4,820.72 = 1,921.34 : x
  2. Step 2: Convert to fraction form
    3,493.28/4,820.72 = 1,921.34/x
  3. Step 3: Cross multiply
    3,493.28x = 4,820.72 × 1,921.34
  4. Step 4: Simplify right side
    3,493.28x = 9,262,244.61
  5. Step 5: Solve for x
    x = 9,262,244.61/3,493.28
  6. Step 6: Final answer
    x = 2,651.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.