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Finding the Fourth Proportional to 3,458.79, 5,188.02 and 1,609.25

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Solution

The fourth proportional to 3,458.79, 5,188.02 and 1,609.25 is: 2,413.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.79 : 5,188.02 = 1,609.25 : x
  2. Step 2: Convert to fraction form
    3,458.79/5,188.02 = 1,609.25/x
  3. Step 3: Cross multiply
    3,458.79x = 5,188.02 × 1,609.25
  4. Step 4: Simplify right side
    3,458.79x = 8,348,795.24
  5. Step 5: Solve for x
    x = 8,348,795.24/3,458.79
  6. Step 6: Final answer
    x = 2,413.79

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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.