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Finding the Fourth Proportional to 5,222.34, 7,206.96 and 2,984.34

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Solution

The fourth proportional to 5,222.34, 7,206.96 and 2,984.34 is: 4,118.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.34 : 7,206.96 = 2,984.34 : x
  2. Step 2: Convert to fraction form
    5,222.34/7,206.96 = 2,984.34/x
  3. Step 3: Cross multiply
    5,222.34x = 7,206.96 × 2,984.34
  4. Step 4: Simplify right side
    5,222.34x = 21,508,019.01
  5. Step 5: Solve for x
    x = 21,508,019.01/5,222.34
  6. Step 6: Final answer
    x = 4,118.46

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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.