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Finding the Fourth Proportional to 3,954, 5,457.56 and 2,275.60

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Solution

The fourth proportional to 3,954, 5,457.56 and 2,275.60 is: 3,140.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954 : 5,457.56 = 2,275.60 : x
  2. Step 2: Convert to fraction form
    3,954/5,457.56 = 2,275.60/x
  3. Step 3: Cross multiply
    3,954x = 5,457.56 × 2,275.60
  4. Step 4: Simplify right side
    3,954x = 12,419,223.54
  5. Step 5: Solve for x
    x = 12,419,223.54/3,954
  6. Step 6: Final answer
    x = 3,140.93

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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.