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Finding the Fourth Proportional to 4,851.64, 6,696.69 and 4,195.54

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Solution

The fourth proportional to 4,851.64, 6,696.69 and 4,195.54 is: 5,791.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,851.64 : 6,696.69 = 4,195.54 : x
  2. Step 2: Convert to fraction form
    4,851.64/6,696.69 = 4,195.54/x
  3. Step 3: Cross multiply
    4,851.64x = 6,696.69 × 4,195.54
  4. Step 4: Simplify right side
    4,851.64x = 28,096,230.76
  5. Step 5: Solve for x
    x = 28,096,230.76/4,851.64
  6. Step 6: Final answer
    x = 5,791.08

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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.