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Finding the Fourth Proportional to 3,504.68, 4,836.27 and 2,178.36

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Solution

The fourth proportional to 3,504.68, 4,836.27 and 2,178.36 is: 3,006.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.68 : 4,836.27 = 2,178.36 : x
  2. Step 2: Convert to fraction form
    3,504.68/4,836.27 = 2,178.36/x
  3. Step 3: Cross multiply
    3,504.68x = 4,836.27 × 2,178.36
  4. Step 4: Simplify right side
    3,504.68x = 10,535,145.29
  5. Step 5: Solve for x
    x = 10,535,145.29/3,504.68
  6. Step 6: Final answer
    x = 3,006.02

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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.