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Finding the Fourth Proportional to 3,954.68, 5,453.16 and 2,695.96

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Solution

The fourth proportional to 3,954.68, 5,453.16 and 2,695.96 is: 3,717.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.68 : 5,453.16 = 2,695.96 : x
  2. Step 2: Convert to fraction form
    3,954.68/5,453.16 = 2,695.96/x
  3. Step 3: Cross multiply
    3,954.68x = 5,453.16 × 2,695.96
  4. Step 4: Simplify right side
    3,954.68x = 14,701,501.23
  5. Step 5: Solve for x
    x = 14,701,501.23/3,954.68
  6. Step 6: Final answer
    x = 3,717.49

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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.