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Finding the Fourth Proportional to 4,203.86, 6,307.41 and 1,608.62

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Solution

The fourth proportional to 4,203.86, 6,307.41 and 1,608.62 is: 2,413.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.86 : 6,307.41 = 1,608.62 : x
  2. Step 2: Convert to fraction form
    4,203.86/6,307.41 = 1,608.62/x
  3. Step 3: Cross multiply
    4,203.86x = 6,307.41 × 1,608.62
  4. Step 4: Simplify right side
    4,203.86x = 10,146,225.87
  5. Step 5: Solve for x
    x = 10,146,225.87/4,203.86
  6. Step 6: Final answer
    x = 2,413.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.