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Finding the Fourth Proportional to 3,455.46, 5,174.82 and 2,416.50

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Solution

The fourth proportional to 3,455.46, 5,174.82 and 2,416.50 is: 3,618.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.46 : 5,174.82 = 2,416.50 : x
  2. Step 2: Convert to fraction form
    3,455.46/5,174.82 = 2,416.50/x
  3. Step 3: Cross multiply
    3,455.46x = 5,174.82 × 2,416.50
  4. Step 4: Simplify right side
    3,455.46x = 12,504,952.53
  5. Step 5: Solve for x
    x = 12,504,952.53/3,455.46
  6. Step 6: Final answer
    x = 3,618.90

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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.