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Finding the Fourth Proportional to 4,331.40, 6,498.70 and 4,171.40

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Solution

The fourth proportional to 4,331.40, 6,498.70 and 4,171.40 is: 6,258.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,331.40 : 6,498.70 = 4,171.40 : x
  2. Step 2: Convert to fraction form
    4,331.40/6,498.70 = 4,171.40/x
  3. Step 3: Cross multiply
    4,331.40x = 6,498.70 × 4,171.40
  4. Step 4: Simplify right side
    4,331.40x = 27,108,677.18
  5. Step 5: Solve for x
    x = 27,108,677.18/4,331.40
  6. Step 6: Final answer
    x = 6,258.64

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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.