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Finding the Fourth Proportional to 3,265.05, 4,922.03 and 3,047.80

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Solution

The fourth proportional to 3,265.05, 4,922.03 and 3,047.80 is: 4,594.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265.05 : 4,922.03 = 3,047.80 : x
  2. Step 2: Convert to fraction form
    3,265.05/4,922.03 = 3,047.80/x
  3. Step 3: Cross multiply
    3,265.05x = 4,922.03 × 3,047.80
  4. Step 4: Simplify right side
    3,265.05x = 15,001,363.03
  5. Step 5: Solve for x
    x = 15,001,363.03/3,265.05
  6. Step 6: Final answer
    x = 4,594.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.