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Finding the Fourth Proportional to 5,071.50, 7,608.47 and 1,608.75

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Solution

The fourth proportional to 5,071.50, 7,608.47 and 1,608.75 is: 2,413.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.50 : 7,608.47 = 1,608.75 : x
  2. Step 2: Convert to fraction form
    5,071.50/7,608.47 = 1,608.75/x
  3. Step 3: Cross multiply
    5,071.50x = 7,608.47 × 1,608.75
  4. Step 4: Simplify right side
    5,071.50x = 12,240,118.07
  5. Step 5: Solve for x
    x = 12,240,118.07/5,071.50
  6. Step 6: Final answer
    x = 2,413.51

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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.