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Finding the Fourth Proportional to 3,863.96, 5,330.45 and 2,270.07

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Solution

The fourth proportional to 3,863.96, 5,330.45 and 2,270.07 is: 3,131.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.96 : 5,330.45 = 2,270.07 : x
  2. Step 2: Convert to fraction form
    3,863.96/5,330.45 = 2,270.07/x
  3. Step 3: Cross multiply
    3,863.96x = 5,330.45 × 2,270.07
  4. Step 4: Simplify right side
    3,863.96x = 12,100,483.28
  5. Step 5: Solve for x
    x = 12,100,483.28/3,863.96
  6. Step 6: Final answer
    x = 3,131.63

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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.