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Finding the Fourth Proportional to 4,171.40, 6,258.70 and 4,105.80

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Solution

The fourth proportional to 4,171.40, 6,258.70 and 4,105.80 is: 6,160.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.40 : 6,258.70 = 4,105.80 : x
  2. Step 2: Convert to fraction form
    4,171.40/6,258.70 = 4,105.80/x
  3. Step 3: Cross multiply
    4,171.40x = 6,258.70 × 4,105.80
  4. Step 4: Simplify right side
    4,171.40x = 25,696,970.46
  5. Step 5: Solve for x
    x = 25,696,970.46/4,171.40
  6. Step 6: Final answer
    x = 6,160.27

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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.