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Finding the Fourth Proportional to 5,648.22, 8,468.22 and 2,362.26

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Solution

The fourth proportional to 5,648.22, 8,468.22 and 2,362.26 is: 3,541.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.22 : 8,468.22 = 2,362.26 : x
  2. Step 2: Convert to fraction form
    5,648.22/8,468.22 = 2,362.26/x
  3. Step 3: Cross multiply
    5,648.22x = 8,468.22 × 2,362.26
  4. Step 4: Simplify right side
    5,648.22x = 20,004,137.38
  5. Step 5: Solve for x
    x = 20,004,137.38/5,648.22
  6. Step 6: Final answer
    x = 3,541.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.