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Finding the Fourth Proportional to 5,673.54, 7,829.41 and 3,189.54

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Solution

The fourth proportional to 5,673.54, 7,829.41 and 3,189.54 is: 4,401.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.54 : 7,829.41 = 3,189.54 : x
  2. Step 2: Convert to fraction form
    5,673.54/7,829.41 = 3,189.54/x
  3. Step 3: Cross multiply
    5,673.54x = 7,829.41 × 3,189.54
  4. Step 4: Simplify right side
    5,673.54x = 24,972,216.37
  5. Step 5: Solve for x
    x = 24,972,216.37/5,673.54
  6. Step 6: Final answer
    x = 4,401.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.