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Finding the Fourth Proportional to 3,405.96, 5,104.46 and 3,184.00

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Solution

The fourth proportional to 3,405.96, 5,104.46 and 3,184.00 is: 4,771.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.96 : 5,104.46 = 3,184.00 : x
  2. Step 2: Convert to fraction form
    3,405.96/5,104.46 = 3,184.00/x
  3. Step 3: Cross multiply
    3,405.96x = 5,104.46 × 3,184.00
  4. Step 4: Simplify right side
    3,405.96x = 16,252,595.84
  5. Step 5: Solve for x
    x = 16,252,595.84/3,405.96
  6. Step 6: Final answer
    x = 4,771.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.