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Finding the Fourth Proportional to 3,533.43, 5,300.13 and 1,454.56

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Solution

The fourth proportional to 3,533.43, 5,300.13 and 1,454.56 is: 2,181.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.43 : 5,300.13 = 1,454.56 : x
  2. Step 2: Convert to fraction form
    3,533.43/5,300.13 = 1,454.56/x
  3. Step 3: Cross multiply
    3,533.43x = 5,300.13 × 1,454.56
  4. Step 4: Simplify right side
    3,533.43x = 7,709,357.09
  5. Step 5: Solve for x
    x = 7,709,357.09/3,533.43
  6. Step 6: Final answer
    x = 2,181.83

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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.