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Finding the Fourth Proportional to 4,059.42, 6,089.80 and 1,286.09

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Solution

The fourth proportional to 4,059.42, 6,089.80 and 1,286.09 is: 1,929.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,059.42 : 6,089.80 = 1,286.09 : x
  2. Step 2: Convert to fraction form
    4,059.42/6,089.80 = 1,286.09/x
  3. Step 3: Cross multiply
    4,059.42x = 6,089.80 × 1,286.09
  4. Step 4: Simplify right side
    4,059.42x = 7,832,056.72
  5. Step 5: Solve for x
    x = 7,832,056.72/4,059.42
  6. Step 6: Final answer
    x = 1,929.36

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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.