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Finding the Fourth Proportional to 3,533.82, 5,299.38 and 1,683.52

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Solution

The fourth proportional to 3,533.82, 5,299.38 and 1,683.52 is: 2,524.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.82 : 5,299.38 = 1,683.52 : x
  2. Step 2: Convert to fraction form
    3,533.82/5,299.38 = 1,683.52/x
  3. Step 3: Cross multiply
    3,533.82x = 5,299.38 × 1,683.52
  4. Step 4: Simplify right side
    3,533.82x = 8,921,612.22
  5. Step 5: Solve for x
    x = 8,921,612.22/3,533.82
  6. Step 6: Final answer
    x = 2,524.64

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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.