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Finding the Fourth Proportional to 4,189.33, 6,284.00 and 2,337.67

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Solution

The fourth proportional to 4,189.33, 6,284.00 and 2,337.67 is: 3,506.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.33 : 6,284.00 = 2,337.67 : x
  2. Step 2: Convert to fraction form
    4,189.33/6,284.00 = 2,337.67/x
  3. Step 3: Cross multiply
    4,189.33x = 6,284.00 × 2,337.67
  4. Step 4: Simplify right side
    4,189.33x = 14,689,890.88
  5. Step 5: Solve for x
    x = 14,689,890.88/4,189.33
  6. Step 6: Final answer
    x = 3,506.50

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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.