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Finding the Fourth Proportional to 4,531.82, 6,794.04 and 1,757.06

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Solution

The fourth proportional to 4,531.82, 6,794.04 and 1,757.06 is: 2,634.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,531.82 : 6,794.04 = 1,757.06 : x
  2. Step 2: Convert to fraction form
    4,531.82/6,794.04 = 1,757.06/x
  3. Step 3: Cross multiply
    4,531.82x = 6,794.04 × 1,757.06
  4. Step 4: Simplify right side
    4,531.82x = 11,937,535.92
  5. Step 5: Solve for x
    x = 11,937,535.92/4,531.82
  6. Step 6: Final answer
    x = 2,634.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.