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Finding the Fourth Proportional to 5,693.10, 8,540.10 and 1,797.84

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Solution

The fourth proportional to 5,693.10, 8,540.10 and 1,797.84 is: 2,696.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.10 : 8,540.10 = 1,797.84 : x
  2. Step 2: Convert to fraction form
    5,693.10/8,540.10 = 1,797.84/x
  3. Step 3: Cross multiply
    5,693.10x = 8,540.10 × 1,797.84
  4. Step 4: Simplify right side
    5,693.10x = 15,353,733.38
  5. Step 5: Solve for x
    x = 15,353,733.38/5,693.10
  6. Step 6: Final answer
    x = 2,696.90

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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.