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Finding the Fourth Proportional to 4,532.54, 6,799.96 and 2,193.67

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Solution

The fourth proportional to 4,532.54, 6,799.96 and 2,193.67 is: 3,291.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532.54 : 6,799.96 = 2,193.67 : x
  2. Step 2: Convert to fraction form
    4,532.54/6,799.96 = 2,193.67/x
  3. Step 3: Cross multiply
    4,532.54x = 6,799.96 × 2,193.67
  4. Step 4: Simplify right side
    4,532.54x = 14,916,835.08
  5. Step 5: Solve for x
    x = 14,916,835.08/4,532.54
  6. Step 6: Final answer
    x = 3,291.05

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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.