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Finding the Fourth Proportional to 3,749.84, 5,176.16 and 2,257.82

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Solution

The fourth proportional to 3,749.84, 5,176.16 and 2,257.82 is: 3,116.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.84 : 5,176.16 = 2,257.82 : x
  2. Step 2: Convert to fraction form
    3,749.84/5,176.16 = 2,257.82/x
  3. Step 3: Cross multiply
    3,749.84x = 5,176.16 × 2,257.82
  4. Step 4: Simplify right side
    3,749.84x = 11,686,837.57
  5. Step 5: Solve for x
    x = 11,686,837.57/3,749.84
  6. Step 6: Final answer
    x = 3,116.62

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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.