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Finding the Fourth Proportional to 3,429, 4,731.66 and 1,936.44

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Solution

The fourth proportional to 3,429, 4,731.66 and 1,936.44 is: 2,672.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429 : 4,731.66 = 1,936.44 : x
  2. Step 2: Convert to fraction form
    3,429/4,731.66 = 1,936.44/x
  3. Step 3: Cross multiply
    3,429x = 4,731.66 × 1,936.44
  4. Step 4: Simplify right side
    3,429x = 9,162,575.69
  5. Step 5: Solve for x
    x = 9,162,575.69/3,429
  6. Step 6: Final answer
    x = 2,672.08

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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.