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Finding the Fourth Proportional to 5,941.84, 8,199.84 and 3,289.28

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Solution

The fourth proportional to 5,941.84, 8,199.84 and 3,289.28 is: 4,539.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941.84 : 8,199.84 = 3,289.28 : x
  2. Step 2: Convert to fraction form
    5,941.84/8,199.84 = 3,289.28/x
  3. Step 3: Cross multiply
    5,941.84x = 8,199.84 × 3,289.28
  4. Step 4: Simplify right side
    5,941.84x = 26,971,569.72
  5. Step 5: Solve for x
    x = 26,971,569.72/5,941.84
  6. Step 6: Final answer
    x = 4,539.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.