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Finding the Fourth Proportional to 4,599.67, 6,900.20 and 2,134.75

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Solution

The fourth proportional to 4,599.67, 6,900.20 and 2,134.75 is: 3,202.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599.67 : 6,900.20 = 2,134.75 : x
  2. Step 2: Convert to fraction form
    4,599.67/6,900.20 = 2,134.75/x
  3. Step 3: Cross multiply
    4,599.67x = 6,900.20 × 2,134.75
  4. Step 4: Simplify right side
    4,599.67x = 14,730,156.78
  5. Step 5: Solve for x
    x = 14,730,156.78/4,599.67
  6. Step 6: Final answer
    x = 3,202.44

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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.