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Finding the Fourth Proportional to 4,096.86, 6,131.25 and 2,536.26

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Solution

The fourth proportional to 4,096.86, 6,131.25 and 2,536.26 is: 3,795.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.86 : 6,131.25 = 2,536.26 : x
  2. Step 2: Convert to fraction form
    4,096.86/6,131.25 = 2,536.26/x
  3. Step 3: Cross multiply
    4,096.86x = 6,131.25 × 2,536.26
  4. Step 4: Simplify right side
    4,096.86x = 15,550,444.13
  5. Step 5: Solve for x
    x = 15,550,444.13/4,096.86
  6. Step 6: Final answer
    x = 3,795.70

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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.