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Finding the Fourth Proportional to 4,902.48, 6,766.04 and 3,039.76

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Solution

The fourth proportional to 4,902.48, 6,766.04 and 3,039.76 is: 4,195.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.48 : 6,766.04 = 3,039.76 : x
  2. Step 2: Convert to fraction form
    4,902.48/6,766.04 = 3,039.76/x
  3. Step 3: Cross multiply
    4,902.48x = 6,766.04 × 3,039.76
  4. Step 4: Simplify right side
    4,902.48x = 20,567,137.75
  5. Step 5: Solve for x
    x = 20,567,137.75/4,902.48
  6. Step 6: Final answer
    x = 4,195.25

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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.