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Finding the Fourth Proportional to 4,059.52, 6,089.28 and 1,286.20

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Solution

The fourth proportional to 4,059.52, 6,089.28 and 1,286.20 is: 1,929.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,059.52 : 6,089.28 = 1,286.20 : x
  2. Step 2: Convert to fraction form
    4,059.52/6,089.28 = 1,286.20/x
  3. Step 3: Cross multiply
    4,059.52x = 6,089.28 × 1,286.20
  4. Step 4: Simplify right side
    4,059.52x = 7,832,031.94
  5. Step 5: Solve for x
    x = 7,832,031.94/4,059.52
  6. Step 6: Final answer
    x = 1,929.30

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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.