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Finding the Fourth Proportional to 5,890.99, 8,834.33 and 1,729.93

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Solution

The fourth proportional to 5,890.99, 8,834.33 and 1,729.93 is: 2,594.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.99 : 8,834.33 = 1,729.93 : x
  2. Step 2: Convert to fraction form
    5,890.99/8,834.33 = 1,729.93/x
  3. Step 3: Cross multiply
    5,890.99x = 8,834.33 × 1,729.93
  4. Step 4: Simplify right side
    5,890.99x = 15,282,763.85
  5. Step 5: Solve for x
    x = 15,282,763.85/5,890.99
  6. Step 6: Final answer
    x = 2,594.26

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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.