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Finding the Fourth Proportional to 5,902.63, 8,850.54 and 3,533.08

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Solution

The fourth proportional to 5,902.63, 8,850.54 and 3,533.08 is: 5,297.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.63 : 8,850.54 = 3,533.08 : x
  2. Step 2: Convert to fraction form
    5,902.63/8,850.54 = 3,533.08/x
  3. Step 3: Cross multiply
    5,902.63x = 8,850.54 × 3,533.08
  4. Step 4: Simplify right side
    5,902.63x = 31,269,665.86
  5. Step 5: Solve for x
    x = 31,269,665.86/5,902.63
  6. Step 6: Final answer
    x = 5,297.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.