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Finding the Fourth Proportional to 3,289.14, 4,539 and 1,797.06

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Solution

The fourth proportional to 3,289.14, 4,539 and 1,797.06 is: 2,479.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.14 : 4,539 = 1,797.06 : x
  2. Step 2: Convert to fraction form
    3,289.14/4,539 = 1,797.06/x
  3. Step 3: Cross multiply
    3,289.14x = 4,539 × 1,797.06
  4. Step 4: Simplify right side
    3,289.14x = 8,156,855.34
  5. Step 5: Solve for x
    x = 8,156,855.34/3,289.14
  6. Step 6: Final answer
    x = 2,479.94

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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.