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Finding the Fourth Proportional to 3,533.68, 5,299.62 and 1,454.26

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Solution

The fourth proportional to 3,533.68, 5,299.62 and 1,454.26 is: 2,181.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.68 : 5,299.62 = 1,454.26 : x
  2. Step 2: Convert to fraction form
    3,533.68/5,299.62 = 1,454.26/x
  3. Step 3: Cross multiply
    3,533.68x = 5,299.62 × 1,454.26
  4. Step 4: Simplify right side
    3,533.68x = 7,707,025.38
  5. Step 5: Solve for x
    x = 7,707,025.38/3,533.68
  6. Step 6: Final answer
    x = 2,181.02

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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.