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Finding the Fourth Proportional to 5,823.54, 8,019 and 5,216.67

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Solution

The fourth proportional to 5,823.54, 8,019 and 5,216.67 is: 7,183.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.54 : 8,019 = 5,216.67 : x
  2. Step 2: Convert to fraction form
    5,823.54/8,019 = 5,216.67/x
  3. Step 3: Cross multiply
    5,823.54x = 8,019 × 5,216.67
  4. Step 4: Simplify right side
    5,823.54x = 41,832,476.73
  5. Step 5: Solve for x
    x = 41,832,476.73/5,823.54
  6. Step 6: Final answer
    x = 7,183.34

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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.