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Finding the Fourth Proportional to 5,428.82, 8,143.94 and 1,533.33

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Solution

The fourth proportional to 5,428.82, 8,143.94 and 1,533.33 is: 2,300.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,428.82 : 8,143.94 = 1,533.33 : x
  2. Step 2: Convert to fraction form
    5,428.82/8,143.94 = 1,533.33/x
  3. Step 3: Cross multiply
    5,428.82x = 8,143.94 × 1,533.33
  4. Step 4: Simplify right side
    5,428.82x = 12,487,351.35
  5. Step 5: Solve for x
    x = 12,487,351.35/5,428.82
  6. Step 6: Final answer
    x = 2,300.20

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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.