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Finding the Fourth Proportional to 5,208.84, 7,188.24 and 3,218.94

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Solution

The fourth proportional to 5,208.84, 7,188.24 and 3,218.94 is: 4,442.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.84 : 7,188.24 = 3,218.94 : x
  2. Step 2: Convert to fraction form
    5,208.84/7,188.24 = 3,218.94/x
  3. Step 3: Cross multiply
    5,208.84x = 7,188.24 × 3,218.94
  4. Step 4: Simplify right side
    5,208.84x = 23,138,513.27
  5. Step 5: Solve for x
    x = 23,138,513.27/5,208.84
  6. Step 6: Final answer
    x = 4,442.16

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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.