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Finding the Fourth Proportional to 5,731.24, 8,596.50 and 3,421

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Solution

The fourth proportional to 5,731.24, 8,596.50 and 3,421 is: 5,131.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.24 : 8,596.50 = 3,421 : x
  2. Step 2: Convert to fraction form
    5,731.24/8,596.50 = 3,421/x
  3. Step 3: Cross multiply
    5,731.24x = 8,596.50 × 3,421
  4. Step 4: Simplify right side
    5,731.24x = 29,408,626.50
  5. Step 5: Solve for x
    x = 29,408,626.50/5,731.24
  6. Step 6: Final answer
    x = 5,131.29

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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.