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Finding the Fourth Proportional to 5,309.08, 7,327.74 and 3,442.84

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Solution

The fourth proportional to 5,309.08, 7,327.74 and 3,442.84 is: 4,751.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.08 : 7,327.74 = 3,442.84 : x
  2. Step 2: Convert to fraction form
    5,309.08/7,327.74 = 3,442.84/x
  3. Step 3: Cross multiply
    5,309.08x = 7,327.74 × 3,442.84
  4. Step 4: Simplify right side
    5,309.08x = 25,228,236.38
  5. Step 5: Solve for x
    x = 25,228,236.38/5,309.08
  6. Step 6: Final answer
    x = 4,751.90

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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.