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Finding the Fourth Proportional to 5,673.96, 7,829.20 and 3,189.48

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Solution

The fourth proportional to 5,673.96, 7,829.20 and 3,189.48 is: 4,401.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.96 : 7,829.20 = 3,189.48 : x
  2. Step 2: Convert to fraction form
    5,673.96/7,829.20 = 3,189.48/x
  3. Step 3: Cross multiply
    5,673.96x = 7,829.20 × 3,189.48
  4. Step 4: Simplify right side
    5,673.96x = 24,971,076.82
  5. Step 5: Solve for x
    x = 24,971,076.82/5,673.96
  6. Step 6: Final answer
    x = 4,401.00

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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.