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Finding the Fourth Proportional to 5,467.06, 8,203.02 and 2,003.50

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Solution

The fourth proportional to 5,467.06, 8,203.02 and 2,003.50 is: 3,006.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,467.06 : 8,203.02 = 2,003.50 : x
  2. Step 2: Convert to fraction form
    5,467.06/8,203.02 = 2,003.50/x
  3. Step 3: Cross multiply
    5,467.06x = 8,203.02 × 2,003.50
  4. Step 4: Simplify right side
    5,467.06x = 16,434,750.57
  5. Step 5: Solve for x
    x = 16,434,750.57/5,467.06
  6. Step 6: Final answer
    x = 3,006.14

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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.