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Finding the Fourth Proportional to 3,533.90, 5,300.85 and 2,072.25

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Solution

The fourth proportional to 3,533.90, 5,300.85 and 2,072.25 is: 3,108.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.90 : 5,300.85 = 2,072.25 : x
  2. Step 2: Convert to fraction form
    3,533.90/5,300.85 = 2,072.25/x
  3. Step 3: Cross multiply
    3,533.90x = 5,300.85 × 2,072.25
  4. Step 4: Simplify right side
    3,533.90x = 10,984,676.05
  5. Step 5: Solve for x
    x = 10,984,676.05/3,533.90
  6. Step 6: Final answer
    x = 3,108.38

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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.