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Finding the Fourth Proportional to 4,059.21, 6,089.03 and 1,286.18

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Solution

The fourth proportional to 4,059.21, 6,089.03 and 1,286.18 is: 1,929.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,059.21 : 6,089.03 = 1,286.18 : x
  2. Step 2: Convert to fraction form
    4,059.21/6,089.03 = 1,286.18/x
  3. Step 3: Cross multiply
    4,059.21x = 6,089.03 × 1,286.18
  4. Step 4: Simplify right side
    4,059.21x = 7,831,588.61
  5. Step 5: Solve for x
    x = 7,831,588.61/4,059.21
  6. Step 6: Final answer
    x = 1,929.34

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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.