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Finding the Fourth Proportional to 3,705, 5,113.06 and 2,049

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Solution

The fourth proportional to 3,705, 5,113.06 and 2,049 is: 2,827.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705 : 5,113.06 = 2,049 : x
  2. Step 2: Convert to fraction form
    3,705/5,113.06 = 2,049/x
  3. Step 3: Cross multiply
    3,705x = 5,113.06 × 2,049
  4. Step 4: Simplify right side
    3,705x = 10,476,659.94
  5. Step 5: Solve for x
    x = 10,476,659.94/3,705
  6. Step 6: Final answer
    x = 2,827.71

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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.