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Finding the Fourth Proportional to 3,564.93, 5,323.04 and 3,192.33

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Solution

The fourth proportional to 3,564.93, 5,323.04 and 3,192.33 is: 4,766.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.93 : 5,323.04 = 3,192.33 : x
  2. Step 2: Convert to fraction form
    3,564.93/5,323.04 = 3,192.33/x
  3. Step 3: Cross multiply
    3,564.93x = 5,323.04 × 3,192.33
  4. Step 4: Simplify right side
    3,564.93x = 16,992,908.26
  5. Step 5: Solve for x
    x = 16,992,908.26/3,564.93
  6. Step 6: Final answer
    x = 4,766.69

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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.