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Finding the Fourth Proportional to 5,674.30, 7,832.16 and 3,788.62

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Solution

The fourth proportional to 5,674.30, 7,832.16 and 3,788.62 is: 5,229.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.30 : 7,832.16 = 3,788.62 : x
  2. Step 2: Convert to fraction form
    5,674.30/7,832.16 = 3,788.62/x
  3. Step 3: Cross multiply
    5,674.30x = 7,832.16 × 3,788.62
  4. Step 4: Simplify right side
    5,674.30x = 29,673,078.02
  5. Step 5: Solve for x
    x = 29,673,078.02/5,674.30
  6. Step 6: Final answer
    x = 5,229.38

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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.