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Finding the Fourth Proportional to 5,195.82, 7,821.49 and 4,660

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Solution

The fourth proportional to 5,195.82, 7,821.49 and 4,660 is: 7,014.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.82 : 7,821.49 = 4,660 : x
  2. Step 2: Convert to fraction form
    5,195.82/7,821.49 = 4,660/x
  3. Step 3: Cross multiply
    5,195.82x = 7,821.49 × 4,660
  4. Step 4: Simplify right side
    5,195.82x = 36,448,143.40
  5. Step 5: Solve for x
    x = 36,448,143.40/5,195.82
  6. Step 6: Final answer
    x = 7,014.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.