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Finding the Fourth Proportional to 3,804.46, 5,679.17 and 3,287.80

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Solution

The fourth proportional to 3,804.46, 5,679.17 and 3,287.80 is: 4,907.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.46 : 5,679.17 = 3,287.80 : x
  2. Step 2: Convert to fraction form
    3,804.46/5,679.17 = 3,287.80/x
  3. Step 3: Cross multiply
    3,804.46x = 5,679.17 × 3,287.80
  4. Step 4: Simplify right side
    3,804.46x = 18,671,975.13
  5. Step 5: Solve for x
    x = 18,671,975.13/3,804.46
  6. Step 6: Final answer
    x = 4,907.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.