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Finding the Fourth Proportional to 5,222.60, 7,206.52 and 2,984.62

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Solution

The fourth proportional to 5,222.60, 7,206.52 and 2,984.62 is: 4,118.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.60 : 7,206.52 = 2,984.62 : x
  2. Step 2: Convert to fraction form
    5,222.60/7,206.52 = 2,984.62/x
  3. Step 3: Cross multiply
    5,222.60x = 7,206.52 × 2,984.62
  4. Step 4: Simplify right side
    5,222.60x = 21,508,723.72
  5. Step 5: Solve for x
    x = 21,508,723.72/5,222.60
  6. Step 6: Final answer
    x = 4,118.39

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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.