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Finding the Fourth Proportional to 7,258.50, 10,016.82 and 3,946.50

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Solution

The fourth proportional to 7,258.50, 10,016.82 and 3,946.50 is: 5,446.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,258.50 : 10,016.82 = 3,946.50 : x
  2. Step 2: Convert to fraction form
    7,258.50/10,016.82 = 3,946.50/x
  3. Step 3: Cross multiply
    7,258.50x = 10,016.82 × 3,946.50
  4. Step 4: Simplify right side
    7,258.50x = 39,531,380.13
  5. Step 5: Solve for x
    x = 39,531,380.13/7,258.50
  6. Step 6: Final answer
    x = 5,446.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.