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Finding the Fourth Proportional to 5,701.66, 7,867.33 and 3,183.67

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Solution

The fourth proportional to 5,701.66, 7,867.33 and 3,183.67 is: 4,392.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.66 : 7,867.33 = 3,183.67 : x
  2. Step 2: Convert to fraction form
    5,701.66/7,867.33 = 3,183.67/x
  3. Step 3: Cross multiply
    5,701.66x = 7,867.33 × 3,183.67
  4. Step 4: Simplify right side
    5,701.66x = 25,046,984.38
  5. Step 5: Solve for x
    x = 25,046,984.38/5,701.66
  6. Step 6: Final answer
    x = 4,392.93

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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.