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Finding the Fourth Proportional to 3,954.56, 5,457.48 and 2,462.48

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Solution

The fourth proportional to 3,954.56, 5,457.48 and 2,462.48 is: 3,398.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.56 : 5,457.48 = 2,462.48 : x
  2. Step 2: Convert to fraction form
    3,954.56/5,457.48 = 2,462.48/x
  3. Step 3: Cross multiply
    3,954.56x = 5,457.48 × 2,462.48
  4. Step 4: Simplify right side
    3,954.56x = 13,438,935.35
  5. Step 5: Solve for x
    x = 13,438,935.35/3,954.56
  6. Step 6: Final answer
    x = 3,398.34

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1.5x scale

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.