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Finding the Fourth Proportional to 4,905.74, 6,767.06 and 3,039.50

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Solution

The fourth proportional to 4,905.74, 6,767.06 and 3,039.50 is: 4,192.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,905.74 : 6,767.06 = 3,039.50 : x
  2. Step 2: Convert to fraction form
    4,905.74/6,767.06 = 3,039.50/x
  3. Step 3: Cross multiply
    4,905.74x = 6,767.06 × 3,039.50
  4. Step 4: Simplify right side
    4,905.74x = 20,568,478.87
  5. Step 5: Solve for x
    x = 20,568,478.87/4,905.74
  6. Step 6: Final answer
    x = 4,192.74

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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.