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Finding the Fourth Proportional to 4,267.70, 6,408.15 and 2,323.70

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Solution

The fourth proportional to 4,267.70, 6,408.15 and 2,323.70 is: 3,489.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,267.70 : 6,408.15 = 2,323.70 : x
  2. Step 2: Convert to fraction form
    4,267.70/6,408.15 = 2,323.70/x
  3. Step 3: Cross multiply
    4,267.70x = 6,408.15 × 2,323.70
  4. Step 4: Simplify right side
    4,267.70x = 14,890,618.16
  5. Step 5: Solve for x
    x = 14,890,618.16/4,267.70
  6. Step 6: Final answer
    x = 3,489.14

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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.