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Finding the Fourth Proportional to 4,258.54, 6,382.92 and 1,659.28

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Solution

The fourth proportional to 4,258.54, 6,382.92 and 1,659.28 is: 2,487.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258.54 : 6,382.92 = 1,659.28 : x
  2. Step 2: Convert to fraction form
    4,258.54/6,382.92 = 1,659.28/x
  3. Step 3: Cross multiply
    4,258.54x = 6,382.92 × 1,659.28
  4. Step 4: Simplify right side
    4,258.54x = 10,591,051.50
  5. Step 5: Solve for x
    x = 10,591,051.50/4,258.54
  6. Step 6: Final answer
    x = 2,487.01

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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.