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Finding the Fourth Proportional to 4,258.44, 6,388.74 and 1,336.77

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Solution

The fourth proportional to 4,258.44, 6,388.74 and 1,336.77 is: 2,005.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258.44 : 6,388.74 = 1,336.77 : x
  2. Step 2: Convert to fraction form
    4,258.44/6,388.74 = 1,336.77/x
  3. Step 3: Cross multiply
    4,258.44x = 6,388.74 × 1,336.77
  4. Step 4: Simplify right side
    4,258.44x = 8,540,275.97
  5. Step 5: Solve for x
    x = 8,540,275.97/4,258.44
  6. Step 6: Final answer
    x = 2,005.49

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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.