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Finding the Fourth Proportional to 5,673, 7,828.90 and 3,189.16

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Solution

The fourth proportional to 5,673, 7,828.90 and 3,189.16 is: 4,401.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673 : 7,828.90 = 3,189.16 : x
  2. Step 2: Convert to fraction form
    5,673/7,828.90 = 3,189.16/x
  3. Step 3: Cross multiply
    5,673x = 7,828.90 × 3,189.16
  4. Step 4: Simplify right side
    5,673x = 24,967,614.72
  5. Step 5: Solve for x
    x = 24,967,614.72/5,673
  6. Step 6: Final answer
    x = 4,401.13

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