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Finding the Fourth Proportional to 5,533.95, 8,302.41 and 2,414.21

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Solution

The fourth proportional to 5,533.95, 8,302.41 and 2,414.21 is: 3,621.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,533.95 : 8,302.41 = 2,414.21 : x
  2. Step 2: Convert to fraction form
    5,533.95/8,302.41 = 2,414.21/x
  3. Step 3: Cross multiply
    5,533.95x = 8,302.41 × 2,414.21
  4. Step 4: Simplify right side
    5,533.95x = 20,043,749.18
  5. Step 5: Solve for x
    x = 20,043,749.18/5,533.95
  6. Step 6: Final answer
    x = 3,621.96

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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.