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Finding the Fourth Proportional to 5,673.62, 8,503.50 and 3,203.32

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Solution

The fourth proportional to 5,673.62, 8,503.50 and 3,203.32 is: 4,801.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.62 : 8,503.50 = 3,203.32 : x
  2. Step 2: Convert to fraction form
    5,673.62/8,503.50 = 3,203.32/x
  3. Step 3: Cross multiply
    5,673.62x = 8,503.50 × 3,203.32
  4. Step 4: Simplify right side
    5,673.62x = 27,239,431.62
  5. Step 5: Solve for x
    x = 27,239,431.62/5,673.62
  6. Step 6: Final answer
    x = 4,801.07

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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.