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Finding the Fourth Proportional to 6,551.91, 9,041.91 and 3,757.95

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Solution

The fourth proportional to 6,551.91, 9,041.91 and 3,757.95 is: 5,186.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.91 : 9,041.91 = 3,757.95 : x
  2. Step 2: Convert to fraction form
    6,551.91/9,041.91 = 3,757.95/x
  3. Step 3: Cross multiply
    6,551.91x = 9,041.91 × 3,757.95
  4. Step 4: Simplify right side
    6,551.91x = 33,979,045.68
  5. Step 5: Solve for x
    x = 33,979,045.68/6,551.91
  6. Step 6: Final answer
    x = 5,186.13

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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.