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Finding the Fourth Proportional to 5,996.86, 8,272.64 and 4,010.06

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Solution

The fourth proportional to 5,996.86, 8,272.64 and 4,010.06 is: 5,531.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996.86 : 8,272.64 = 4,010.06 : x
  2. Step 2: Convert to fraction form
    5,996.86/8,272.64 = 4,010.06/x
  3. Step 3: Cross multiply
    5,996.86x = 8,272.64 × 4,010.06
  4. Step 4: Simplify right side
    5,996.86x = 33,173,782.76
  5. Step 5: Solve for x
    x = 33,173,782.76/5,996.86
  6. Step 6: Final answer
    x = 5,531.86

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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.