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Finding the Fourth Proportional to 5,208.36, 7,185.22 and 3,111.24

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Solution

The fourth proportional to 5,208.36, 7,185.22 and 3,111.24 is: 4,292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.36 : 7,185.22 = 3,111.24 : x
  2. Step 2: Convert to fraction form
    5,208.36/7,185.22 = 3,111.24/x
  3. Step 3: Cross multiply
    5,208.36x = 7,185.22 × 3,111.24
  4. Step 4: Simplify right side
    5,208.36x = 22,354,943.87
  5. Step 5: Solve for x
    x = 22,354,943.87/5,208.36
  6. Step 6: Final answer
    x = 4,292.13

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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.