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Finding the Fourth Proportional to 3,749.51, 5,162.22 and 3,085.22

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Solution

The fourth proportional to 3,749.51, 5,162.22 and 3,085.22 is: 4,247.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.51 : 5,162.22 = 3,085.22 : x
  2. Step 2: Convert to fraction form
    3,749.51/5,162.22 = 3,085.22/x
  3. Step 3: Cross multiply
    3,749.51x = 5,162.22 × 3,085.22
  4. Step 4: Simplify right side
    3,749.51x = 15,926,597.29
  5. Step 5: Solve for x
    x = 15,926,597.29/3,749.51
  6. Step 6: Final answer
    x = 4,247.64

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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.