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Finding the Fourth Proportional to 3,220.82, 4,802.38 and 3,162.50

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Solution

The fourth proportional to 3,220.82, 4,802.38 and 3,162.50 is: 4,715.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.82 : 4,802.38 = 3,162.50 : x
  2. Step 2: Convert to fraction form
    3,220.82/4,802.38 = 3,162.50/x
  3. Step 3: Cross multiply
    3,220.82x = 4,802.38 × 3,162.50
  4. Step 4: Simplify right side
    3,220.82x = 15,187,526.75
  5. Step 5: Solve for x
    x = 15,187,526.75/3,220.82
  6. Step 6: Final answer
    x = 4,715.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.