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Finding the Fourth Proportional to 4,696.89, 7,042.60 and 1,775.42

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Solution

The fourth proportional to 4,696.89, 7,042.60 and 1,775.42 is: 2,662.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.89 : 7,042.60 = 1,775.42 : x
  2. Step 2: Convert to fraction form
    4,696.89/7,042.60 = 1,775.42/x
  3. Step 3: Cross multiply
    4,696.89x = 7,042.60 × 1,775.42
  4. Step 4: Simplify right side
    4,696.89x = 12,503,556.32
  5. Step 5: Solve for x
    x = 12,503,556.32/4,696.89
  6. Step 6: Final answer
    x = 2,662.09

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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.