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Finding the Fourth Proportional to 6,802.57, 10,205.48 and 3,685.69

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Solution

The fourth proportional to 6,802.57, 10,205.48 and 3,685.69 is: 5,529.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.57 : 10,205.48 = 3,685.69 : x
  2. Step 2: Convert to fraction form
    6,802.57/10,205.48 = 3,685.69/x
  3. Step 3: Cross multiply
    6,802.57x = 10,205.48 × 3,685.69
  4. Step 4: Simplify right side
    6,802.57x = 37,614,235.58
  5. Step 5: Solve for x
    x = 37,614,235.58/6,802.57
  6. Step 6: Final answer
    x = 5,529.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.