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Finding the Fourth Proportional to 5,890.34, 8,834.49 and 1,730.27

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Solution

The fourth proportional to 5,890.34, 8,834.49 and 1,730.27 is: 2,595.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.34 : 8,834.49 = 1,730.27 : x
  2. Step 2: Convert to fraction form
    5,890.34/8,834.49 = 1,730.27/x
  3. Step 3: Cross multiply
    5,890.34x = 8,834.49 × 1,730.27
  4. Step 4: Simplify right side
    5,890.34x = 15,286,053.01
  5. Step 5: Solve for x
    x = 15,286,053.01/5,890.34
  6. Step 6: Final answer
    x = 2,595.11

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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.