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Finding the Fourth Proportional to 6,102.30, 8,418.42 and 3,743.58

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Solution

The fourth proportional to 6,102.30, 8,418.42 and 3,743.58 is: 5,164.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.30 : 8,418.42 = 3,743.58 : x
  2. Step 2: Convert to fraction form
    6,102.30/8,418.42 = 3,743.58/x
  3. Step 3: Cross multiply
    6,102.30x = 8,418.42 × 3,743.58
  4. Step 4: Simplify right side
    6,102.30x = 31,515,028.74
  5. Step 5: Solve for x
    x = 31,515,028.74/6,102.30
  6. Step 6: Final answer
    x = 5,164.45

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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.