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Finding the Fourth Proportional to 3,311.76, 4,971.96 and 1,752.96

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Solution

The fourth proportional to 3,311.76, 4,971.96 and 1,752.96 is: 2,631.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.76 : 4,971.96 = 1,752.96 : x
  2. Step 2: Convert to fraction form
    3,311.76/4,971.96 = 1,752.96/x
  3. Step 3: Cross multiply
    3,311.76x = 4,971.96 × 1,752.96
  4. Step 4: Simplify right side
    3,311.76x = 8,715,647.00
  5. Step 5: Solve for x
    x = 8,715,647.00/3,311.76
  6. Step 6: Final answer
    x = 2,631.73

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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.