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Finding the Fourth Proportional to 5,309.85, 7,327.08 and 3,071.28

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Solution

The fourth proportional to 5,309.85, 7,327.08 and 3,071.28 is: 4,238.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.85 : 7,327.08 = 3,071.28 : x
  2. Step 2: Convert to fraction form
    5,309.85/7,327.08 = 3,071.28/x
  3. Step 3: Cross multiply
    5,309.85x = 7,327.08 × 3,071.28
  4. Step 4: Simplify right side
    5,309.85x = 22,503,514.26
  5. Step 5: Solve for x
    x = 22,503,514.26/5,309.85
  6. Step 6: Final answer
    x = 4,238.07

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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.