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Finding the Fourth Proportional to 4,634.68, 6,954.54 and 2,039.80

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Solution

The fourth proportional to 4,634.68, 6,954.54 and 2,039.80 is: 3,060.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,634.68 : 6,954.54 = 2,039.80 : x
  2. Step 2: Convert to fraction form
    4,634.68/6,954.54 = 2,039.80/x
  3. Step 3: Cross multiply
    4,634.68x = 6,954.54 × 2,039.80
  4. Step 4: Simplify right side
    4,634.68x = 14,185,870.69
  5. Step 5: Solve for x
    x = 14,185,870.69/4,634.68
  6. Step 6: Final answer
    x = 3,060.81

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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.