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Finding the Fourth Proportional to 5,941.74, 8,199.05 and 3,551.24

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Solution

The fourth proportional to 5,941.74, 8,199.05 and 3,551.24 is: 4,900.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941.74 : 8,199.05 = 3,551.24 : x
  2. Step 2: Convert to fraction form
    5,941.74/8,199.05 = 3,551.24/x
  3. Step 3: Cross multiply
    5,941.74x = 8,199.05 × 3,551.24
  4. Step 4: Simplify right side
    5,941.74x = 29,116,794.32
  5. Step 5: Solve for x
    x = 29,116,794.32/5,941.74
  6. Step 6: Final answer
    x = 4,900.38

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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.