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Finding the Fourth Proportional to 5,945.68, 8,205.05 and 3,706.23

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Solution

The fourth proportional to 5,945.68, 8,205.05 and 3,706.23 is: 5,114.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.68 : 8,205.05 = 3,706.23 : x
  2. Step 2: Convert to fraction form
    5,945.68/8,205.05 = 3,706.23/x
  3. Step 3: Cross multiply
    5,945.68x = 8,205.05 × 3,706.23
  4. Step 4: Simplify right side
    5,945.68x = 30,409,802.46
  5. Step 5: Solve for x
    x = 30,409,802.46/5,945.68
  6. Step 6: Final answer
    x = 5,114.60

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