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Finding the Fourth Proportional to 3,821.48, 5,731.14 and 1,355.64

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Solution

The fourth proportional to 3,821.48, 5,731.14 and 1,355.64 is: 2,033.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.48 : 5,731.14 = 1,355.64 : x
  2. Step 2: Convert to fraction form
    3,821.48/5,731.14 = 1,355.64/x
  3. Step 3: Cross multiply
    3,821.48x = 5,731.14 × 1,355.64
  4. Step 4: Simplify right side
    3,821.48x = 7,769,362.63
  5. Step 5: Solve for x
    x = 7,769,362.63/3,821.48
  6. Step 6: Final answer
    x = 2,033.08

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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.