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Finding the Fourth Proportional to 4,165.36, 6,237.24 and 4,042.24

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Solution

The fourth proportional to 4,165.36, 6,237.24 and 4,042.24 is: 6,052.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.36 : 6,237.24 = 4,042.24 : x
  2. Step 2: Convert to fraction form
    4,165.36/6,237.24 = 4,042.24/x
  3. Step 3: Cross multiply
    4,165.36x = 6,237.24 × 4,042.24
  4. Step 4: Simplify right side
    4,165.36x = 25,212,421.02
  5. Step 5: Solve for x
    x = 25,212,421.02/4,165.36
  6. Step 6: Final answer
    x = 6,052.88

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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.