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Finding the Fourth Proportional to 6,315.90, 8,713.50 and 3,662.82

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Solution

The fourth proportional to 6,315.90, 8,713.50 and 3,662.82 is: 5,053.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.90 : 8,713.50 = 3,662.82 : x
  2. Step 2: Convert to fraction form
    6,315.90/8,713.50 = 3,662.82/x
  3. Step 3: Cross multiply
    6,315.90x = 8,713.50 × 3,662.82
  4. Step 4: Simplify right side
    6,315.90x = 31,915,982.07
  5. Step 5: Solve for x
    x = 31,915,982.07/6,315.90
  6. Step 6: Final answer
    x = 5,053.28

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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.