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Finding the Fourth Proportional to 5,728.30, 7,904.46 and 3,370.30

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Solution

The fourth proportional to 5,728.30, 7,904.46 and 3,370.30 is: 4,650.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.30 : 7,904.46 = 3,370.30 : x
  2. Step 2: Convert to fraction form
    5,728.30/7,904.46 = 3,370.30/x
  3. Step 3: Cross multiply
    5,728.30x = 7,904.46 × 3,370.30
  4. Step 4: Simplify right side
    5,728.30x = 26,640,401.54
  5. Step 5: Solve for x
    x = 26,640,401.54/5,728.30
  6. Step 6: Final answer
    x = 4,650.66

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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.