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Finding the Fourth Proportional to 3,952.53, 5,457.24 and 2,460.78

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Solution

The fourth proportional to 3,952.53, 5,457.24 and 2,460.78 is: 3,397.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.53 : 5,457.24 = 2,460.78 : x
  2. Step 2: Convert to fraction form
    3,952.53/5,457.24 = 2,460.78/x
  3. Step 3: Cross multiply
    3,952.53x = 5,457.24 × 2,460.78
  4. Step 4: Simplify right side
    3,952.53x = 13,429,067.05
  5. Step 5: Solve for x
    x = 13,429,067.05/3,952.53
  6. Step 6: Final answer
    x = 3,397.59

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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.