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Finding the Fourth Proportional to 6,051.54, 8,351.46 and 3,693

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Solution

The fourth proportional to 6,051.54, 8,351.46 and 3,693 is: 5,096.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,051.54 : 8,351.46 = 3,693 : x
  2. Step 2: Convert to fraction form
    6,051.54/8,351.46 = 3,693/x
  3. Step 3: Cross multiply
    6,051.54x = 8,351.46 × 3,693
  4. Step 4: Simplify right side
    6,051.54x = 30,841,941.78
  5. Step 5: Solve for x
    x = 30,841,941.78/6,051.54
  6. Step 6: Final answer
    x = 5,096.54

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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.