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Finding the Fourth Proportional to 5,604.65, 8,408.22 and 1,709.36

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Solution

The fourth proportional to 5,604.65, 8,408.22 and 1,709.36 is: 2,564.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.65 : 8,408.22 = 1,709.36 : x
  2. Step 2: Convert to fraction form
    5,604.65/8,408.22 = 1,709.36/x
  3. Step 3: Cross multiply
    5,604.65x = 8,408.22 × 1,709.36
  4. Step 4: Simplify right side
    5,604.65x = 14,372,674.94
  5. Step 5: Solve for x
    x = 14,372,674.94/5,604.65
  6. Step 6: Final answer
    x = 2,564.42

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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.