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Finding the Fourth Proportional to 5,267.09, 7,267.80 and 3,029.06

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Solution

The fourth proportional to 5,267.09, 7,267.80 and 3,029.06 is: 4,179.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267.09 : 7,267.80 = 3,029.06 : x
  2. Step 2: Convert to fraction form
    5,267.09/7,267.80 = 3,029.06/x
  3. Step 3: Cross multiply
    5,267.09x = 7,267.80 × 3,029.06
  4. Step 4: Simplify right side
    5,267.09x = 22,014,602.27
  5. Step 5: Solve for x
    x = 22,014,602.27/5,267.09
  6. Step 6: Final answer
    x = 4,179.65

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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.