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Finding the Fourth Proportional to 6,542.48, 9,028.06 and 3,709.20

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Solution

The fourth proportional to 6,542.48, 9,028.06 and 3,709.20 is: 5,118.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.48 : 9,028.06 = 3,709.20 : x
  2. Step 2: Convert to fraction form
    6,542.48/9,028.06 = 3,709.20/x
  3. Step 3: Cross multiply
    6,542.48x = 9,028.06 × 3,709.20
  4. Step 4: Simplify right side
    6,542.48x = 33,486,880.15
  5. Step 5: Solve for x
    x = 33,486,880.15/6,542.48
  6. Step 6: Final answer
    x = 5,118.38

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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.