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Finding the Fourth Proportional to 4,256.72, 5,835.94 and 4,178.96

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Solution

The fourth proportional to 4,256.72, 5,835.94 and 4,178.96 is: 5,729.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,256.72 : 5,835.94 = 4,178.96 : x
  2. Step 2: Convert to fraction form
    4,256.72/5,835.94 = 4,178.96/x
  3. Step 3: Cross multiply
    4,256.72x = 5,835.94 × 4,178.96
  4. Step 4: Simplify right side
    4,256.72x = 24,388,159.82
  5. Step 5: Solve for x
    x = 24,388,159.82/4,256.72
  6. Step 6: Final answer
    x = 5,729.33

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.