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Finding the Fourth Proportional to 4,698.75, 7,048.11 and 3,769.73

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Solution

The fourth proportional to 4,698.75, 7,048.11 and 3,769.73 is: 5,654.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.75 : 7,048.11 = 3,769.73 : x
  2. Step 2: Convert to fraction form
    4,698.75/7,048.11 = 3,769.73/x
  3. Step 3: Cross multiply
    4,698.75x = 7,048.11 × 3,769.73
  4. Step 4: Simplify right side
    4,698.75x = 26,569,471.71
  5. Step 5: Solve for x
    x = 26,569,471.71/4,698.75
  6. Step 6: Final answer
    x = 5,654.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.