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Finding the Fourth Proportional to 3,494.53, 5,244.23 and 2,258.88

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Solution

The fourth proportional to 3,494.53, 5,244.23 and 2,258.88 is: 3,389.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.53 : 5,244.23 = 2,258.88 : x
  2. Step 2: Convert to fraction form
    3,494.53/5,244.23 = 2,258.88/x
  3. Step 3: Cross multiply
    3,494.53x = 5,244.23 × 2,258.88
  4. Step 4: Simplify right side
    3,494.53x = 11,846,086.26
  5. Step 5: Solve for x
    x = 11,846,086.26/3,494.53
  6. Step 6: Final answer
    x = 3,389.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.