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Finding the Fourth Proportional to 5,364.30, 8,035.65 and 3,409.50

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Solution

The fourth proportional to 5,364.30, 8,035.65 and 3,409.50 is: 5,107.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.30 : 8,035.65 = 3,409.50 : x
  2. Step 2: Convert to fraction form
    5,364.30/8,035.65 = 3,409.50/x
  3. Step 3: Cross multiply
    5,364.30x = 8,035.65 × 3,409.50
  4. Step 4: Simplify right side
    5,364.30x = 27,397,548.68
  5. Step 5: Solve for x
    x = 27,397,548.68/5,364.30
  6. Step 6: Final answer
    x = 5,107.39

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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.