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Finding the Fourth Proportional to 4,902.86, 6,766.09 and 3,015.55

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Solution

The fourth proportional to 4,902.86, 6,766.09 and 3,015.55 is: 4,161.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.86 : 6,766.09 = 3,015.55 : x
  2. Step 2: Convert to fraction form
    4,902.86/6,766.09 = 3,015.55/x
  3. Step 3: Cross multiply
    4,902.86x = 6,766.09 × 3,015.55
  4. Step 4: Simplify right side
    4,902.86x = 20,403,494.01
  5. Step 5: Solve for x
    x = 20,403,494.01/4,902.86
  6. Step 6: Final answer
    x = 4,161.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.