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Finding the Fourth Proportional to 4,762.18, 6,611.39 and 4,619.62

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Solution

The fourth proportional to 4,762.18, 6,611.39 and 4,619.62 is: 6,413.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.18 : 6,611.39 = 4,619.62 : x
  2. Step 2: Convert to fraction form
    4,762.18/6,611.39 = 4,619.62/x
  3. Step 3: Cross multiply
    4,762.18x = 6,611.39 × 4,619.62
  4. Step 4: Simplify right side
    4,762.18x = 30,542,109.47
  5. Step 5: Solve for x
    x = 30,542,109.47/4,762.18
  6. Step 6: Final answer
    x = 6,413.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.