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Finding the Fourth Proportional to 6,133.44, 8,460.56 and 4,452.88

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Solution

The fourth proportional to 6,133.44, 8,460.56 and 4,452.88 is: 6,142.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.44 : 8,460.56 = 4,452.88 : x
  2. Step 2: Convert to fraction form
    6,133.44/8,460.56 = 4,452.88/x
  3. Step 3: Cross multiply
    6,133.44x = 8,460.56 × 4,452.88
  4. Step 4: Simplify right side
    6,133.44x = 37,673,858.41
  5. Step 5: Solve for x
    x = 37,673,858.41/6,133.44
  6. Step 6: Final answer
    x = 6,142.37

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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.