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Finding the Fourth Proportional to 5,696.89, 8,546.85 and 2,410.12

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Solution

The fourth proportional to 5,696.89, 8,546.85 and 2,410.12 is: 3,615.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.89 : 8,546.85 = 2,410.12 : x
  2. Step 2: Convert to fraction form
    5,696.89/8,546.85 = 2,410.12/x
  3. Step 3: Cross multiply
    5,696.89x = 8,546.85 × 2,410.12
  4. Step 4: Simplify right side
    5,696.89x = 20,598,934.12
  5. Step 5: Solve for x
    x = 20,598,934.12/5,696.89
  6. Step 6: Final answer
    x = 3,615.82

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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.