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Finding the Fourth Proportional to 3,458.99, 5,188.46 and 1,609.07

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Solution

The fourth proportional to 3,458.99, 5,188.46 and 1,609.07 is: 2,413.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.99 : 5,188.46 = 1,609.07 : x
  2. Step 2: Convert to fraction form
    3,458.99/5,188.46 = 1,609.07/x
  3. Step 3: Cross multiply
    3,458.99x = 5,188.46 × 1,609.07
  4. Step 4: Simplify right side
    3,458.99x = 8,348,595.33
  5. Step 5: Solve for x
    x = 8,348,595.33/3,458.99
  6. Step 6: Final answer
    x = 2,413.59

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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.