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Finding the Fourth Proportional to 4,170.94, 6,258.87 and 1,540.28

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Solution

The fourth proportional to 4,170.94, 6,258.87 and 1,540.28 is: 2,311.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.94 : 6,258.87 = 1,540.28 : x
  2. Step 2: Convert to fraction form
    4,170.94/6,258.87 = 1,540.28/x
  3. Step 3: Cross multiply
    4,170.94x = 6,258.87 × 1,540.28
  4. Step 4: Simplify right side
    4,170.94x = 9,640,412.28
  5. Step 5: Solve for x
    x = 9,640,412.28/4,170.94
  6. Step 6: Final answer
    x = 2,311.33

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