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Finding the Fourth Proportional to 5,193.70, 7,166.46 and 3,205.06

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Solution

The fourth proportional to 5,193.70, 7,166.46 and 3,205.06 is: 4,422.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.70 : 7,166.46 = 3,205.06 : x
  2. Step 2: Convert to fraction form
    5,193.70/7,166.46 = 3,205.06/x
  3. Step 3: Cross multiply
    5,193.70x = 7,166.46 × 3,205.06
  4. Step 4: Simplify right side
    5,193.70x = 22,968,934.29
  5. Step 5: Solve for x
    x = 22,968,934.29/5,193.70
  6. Step 6: Final answer
    x = 4,422.46

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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.