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Finding the Fourth Proportional to 5,729.63, 8,594.45 and 1,834.34

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Solution

The fourth proportional to 5,729.63, 8,594.45 and 1,834.34 is: 2,751.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.63 : 8,594.45 = 1,834.34 : x
  2. Step 2: Convert to fraction form
    5,729.63/8,594.45 = 1,834.34/x
  3. Step 3: Cross multiply
    5,729.63x = 8,594.45 × 1,834.34
  4. Step 4: Simplify right side
    5,729.63x = 15,765,091.27
  5. Step 5: Solve for x
    x = 15,765,091.27/5,729.63
  6. Step 6: Final answer
    x = 2,751.50

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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.