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Finding the Fourth Proportional to 3,820.69, 5,729.14 and 1,355.14

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Solution

The fourth proportional to 3,820.69, 5,729.14 and 1,355.14 is: 2,032.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.69 : 5,729.14 = 1,355.14 : x
  2. Step 2: Convert to fraction form
    3,820.69/5,729.14 = 1,355.14/x
  3. Step 3: Cross multiply
    3,820.69x = 5,729.14 × 1,355.14
  4. Step 4: Simplify right side
    3,820.69x = 7,763,783.01
  5. Step 5: Solve for x
    x = 7,763,783.01/3,820.69
  6. Step 6: Final answer
    x = 2,032.04

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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.