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Finding the Fourth Proportional to 5,505, 7,595.92 and 3,114.96

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Solution

The fourth proportional to 5,505, 7,595.92 and 3,114.96 is: 4,298.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,505 : 7,595.92 = 3,114.96 : x
  2. Step 2: Convert to fraction form
    5,505/7,595.92 = 3,114.96/x
  3. Step 3: Cross multiply
    5,505x = 7,595.92 × 3,114.96
  4. Step 4: Simplify right side
    5,505x = 23,660,986.96
  5. Step 5: Solve for x
    x = 23,660,986.96/5,505
  6. Step 6: Final answer
    x = 4,298.09

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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.