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Finding the Fourth Proportional to 5,419.54, 7,450.23 and 4,660.54

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Solution

The fourth proportional to 5,419.54, 7,450.23 and 4,660.54 is: 6,406.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419.54 : 7,450.23 = 4,660.54 : x
  2. Step 2: Convert to fraction form
    5,419.54/7,450.23 = 4,660.54/x
  3. Step 3: Cross multiply
    5,419.54x = 7,450.23 × 4,660.54
  4. Step 4: Simplify right side
    5,419.54x = 34,722,087.95
  5. Step 5: Solve for x
    x = 34,722,087.95/5,419.54
  6. Step 6: Final answer
    x = 6,406.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.