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Finding the Fourth Proportional to 3,579.74, 5,369.03 and 982.07

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Solution

The fourth proportional to 3,579.74, 5,369.03 and 982.07 is: 1,472.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,579.74 : 5,369.03 = 982.07 : x
  2. Step 2: Convert to fraction form
    3,579.74/5,369.03 = 982.07/x
  3. Step 3: Cross multiply
    3,579.74x = 5,369.03 × 982.07
  4. Step 4: Simplify right side
    3,579.74x = 5,272,731.54
  5. Step 5: Solve for x
    x = 5,272,731.54/3,579.74
  6. Step 6: Final answer
    x = 1,472.94

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1.5x scale

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.