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Finding the Fourth Proportional to 5,506, 8,257.38 and 1,609.48

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Solution

The fourth proportional to 5,506, 8,257.38 and 1,609.48 is: 2,413.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506 : 8,257.38 = 1,609.48 : x
  2. Step 2: Convert to fraction form
    5,506/8,257.38 = 1,609.48/x
  3. Step 3: Cross multiply
    5,506x = 8,257.38 × 1,609.48
  4. Step 4: Simplify right side
    5,506x = 13,290,087.96
  5. Step 5: Solve for x
    x = 13,290,087.96/5,506
  6. Step 6: Final answer
    x = 2,413.75

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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.