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Finding the Fourth Proportional to 3,876.13, 5,804.96 and 2,118.50

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Solution

The fourth proportional to 3,876.13, 5,804.96 and 2,118.50 is: 3,172.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.13 : 5,804.96 = 2,118.50 : x
  2. Step 2: Convert to fraction form
    3,876.13/5,804.96 = 2,118.50/x
  3. Step 3: Cross multiply
    3,876.13x = 5,804.96 × 2,118.50
  4. Step 4: Simplify right side
    3,876.13x = 12,297,789.91
  5. Step 5: Solve for x
    x = 12,297,789.91/3,876.13
  6. Step 6: Final answer
    x = 3,172.70

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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.