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Finding the Fourth Proportional to 3,829.68, 5,728.32 and 3,583.44

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Solution

The fourth proportional to 3,829.68, 5,728.32 and 3,583.44 is: 5,360.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.68 : 5,728.32 = 3,583.44 : x
  2. Step 2: Convert to fraction form
    3,829.68/5,728.32 = 3,583.44/x
  3. Step 3: Cross multiply
    3,829.68x = 5,728.32 × 3,583.44
  4. Step 4: Simplify right side
    3,829.68x = 20,527,091.02
  5. Step 5: Solve for x
    x = 20,527,091.02/3,829.68
  6. Step 6: Final answer
    x = 5,360.00

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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.