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Finding the Fourth Proportional to 5,307.01, 7,960.14 and 1,609.27

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Solution

The fourth proportional to 5,307.01, 7,960.14 and 1,609.27 is: 2,413.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.01 : 7,960.14 = 1,609.27 : x
  2. Step 2: Convert to fraction form
    5,307.01/7,960.14 = 1,609.27/x
  3. Step 3: Cross multiply
    5,307.01x = 7,960.14 × 1,609.27
  4. Step 4: Simplify right side
    5,307.01x = 12,810,014.50
  5. Step 5: Solve for x
    x = 12,810,014.50/5,307.01
  6. Step 6: Final answer
    x = 2,413.79

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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.