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Finding the Fourth Proportional to 3,914.82, 5,401.53 and 2,865.06

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Solution

The fourth proportional to 3,914.82, 5,401.53 and 2,865.06 is: 3,953.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.82 : 5,401.53 = 2,865.06 : x
  2. Step 2: Convert to fraction form
    3,914.82/5,401.53 = 2,865.06/x
  3. Step 3: Cross multiply
    3,914.82x = 5,401.53 × 2,865.06
  4. Step 4: Simplify right side
    3,914.82x = 15,475,707.54
  5. Step 5: Solve for x
    x = 15,475,707.54/3,914.82
  6. Step 6: Final answer
    x = 3,953.11

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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.