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Finding the Fourth Proportional to 5,889.40, 8,834.24 and 1,729.52

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Solution

The fourth proportional to 5,889.40, 8,834.24 and 1,729.52 is: 2,594.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.40 : 8,834.24 = 1,729.52 : x
  2. Step 2: Convert to fraction form
    5,889.40/8,834.24 = 1,729.52/x
  3. Step 3: Cross multiply
    5,889.40x = 8,834.24 × 1,729.52
  4. Step 4: Simplify right side
    5,889.40x = 15,278,994.76
  5. Step 5: Solve for x
    x = 15,278,994.76/5,889.40
  6. Step 6: Final answer
    x = 2,594.32

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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.