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Finding the Fourth Proportional to 3,736.68, 5,155.38 and 2,411.27

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Solution

The fourth proportional to 3,736.68, 5,155.38 and 2,411.27 is: 3,326.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.68 : 5,155.38 = 2,411.27 : x
  2. Step 2: Convert to fraction form
    3,736.68/5,155.38 = 2,411.27/x
  3. Step 3: Cross multiply
    3,736.68x = 5,155.38 × 2,411.27
  4. Step 4: Simplify right side
    3,736.68x = 12,430,996.40
  5. Step 5: Solve for x
    x = 12,430,996.40/3,736.68
  6. Step 6: Final answer
    x = 3,326.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.