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Finding the Fourth Proportional to 6,551.88, 9,041.79 and 3,757.38

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Solution

The fourth proportional to 6,551.88, 9,041.79 and 3,757.38 is: 5,185.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.88 : 9,041.79 = 3,757.38 : x
  2. Step 2: Convert to fraction form
    6,551.88/9,041.79 = 3,757.38/x
  3. Step 3: Cross multiply
    6,551.88x = 9,041.79 × 3,757.38
  4. Step 4: Simplify right side
    6,551.88x = 33,973,440.91
  5. Step 5: Solve for x
    x = 33,973,440.91/6,551.88
  6. Step 6: Final answer
    x = 5,185.30

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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.