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Finding the Fourth Proportional to 5,222.25, 7,210.49 and 3,362.49

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Solution

The fourth proportional to 5,222.25, 7,210.49 and 3,362.49 is: 4,642.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.25 : 7,210.49 = 3,362.49 : x
  2. Step 2: Convert to fraction form
    5,222.25/7,210.49 = 3,362.49/x
  3. Step 3: Cross multiply
    5,222.25x = 7,210.49 × 3,362.49
  4. Step 4: Simplify right side
    5,222.25x = 24,245,200.52
  5. Step 5: Solve for x
    x = 24,245,200.52/5,222.25
  6. Step 6: Final answer
    x = 4,642.67

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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.