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Finding the Fourth Proportional to 3,508.50, 4,836.02 and 3,311.66

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Solution

The fourth proportional to 3,508.50, 4,836.02 and 3,311.66 is: 4,564.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,508.50 : 4,836.02 = 3,311.66 : x
  2. Step 2: Convert to fraction form
    3,508.50/4,836.02 = 3,311.66/x
  3. Step 3: Cross multiply
    3,508.50x = 4,836.02 × 3,311.66
  4. Step 4: Simplify right side
    3,508.50x = 16,015,253.99
  5. Step 5: Solve for x
    x = 16,015,253.99/3,508.50
  6. Step 6: Final answer
    x = 4,564.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.