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Finding the Fourth Proportional to 3,287.07, 4,923.38 and 2,364.41

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Solution

The fourth proportional to 3,287.07, 4,923.38 and 2,364.41 is: 3,541.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.07 : 4,923.38 = 2,364.41 : x
  2. Step 2: Convert to fraction form
    3,287.07/4,923.38 = 2,364.41/x
  3. Step 3: Cross multiply
    3,287.07x = 4,923.38 × 2,364.41
  4. Step 4: Simplify right side
    3,287.07x = 11,640,907.13
  5. Step 5: Solve for x
    x = 11,640,907.13/3,287.07
  6. Step 6: Final answer
    x = 3,541.42

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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.