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Finding the Fourth Proportional to 5,797.14, 8,696.06 and 1,636.85

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Solution

The fourth proportional to 5,797.14, 8,696.06 and 1,636.85 is: 2,455.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.14 : 8,696.06 = 1,636.85 : x
  2. Step 2: Convert to fraction form
    5,797.14/8,696.06 = 1,636.85/x
  3. Step 3: Cross multiply
    5,797.14x = 8,696.06 × 1,636.85
  4. Step 4: Simplify right side
    5,797.14x = 14,234,094.15
  5. Step 5: Solve for x
    x = 14,234,094.15/5,797.14
  6. Step 6: Final answer
    x = 2,455.36

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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.