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Finding the Fourth Proportional to 5,806.72, 8,009.04 and 3,682.90

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Solution

The fourth proportional to 5,806.72, 8,009.04 and 3,682.90 is: 5,079.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.72 : 8,009.04 = 3,682.90 : x
  2. Step 2: Convert to fraction form
    5,806.72/8,009.04 = 3,682.90/x
  3. Step 3: Cross multiply
    5,806.72x = 8,009.04 × 3,682.90
  4. Step 4: Simplify right side
    5,806.72x = 29,496,493.42
  5. Step 5: Solve for x
    x = 29,496,493.42/5,806.72
  6. Step 6: Final answer
    x = 5,079.72

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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.