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Finding the Fourth Proportional to 4,531.26, 6,807.26 and 3,908.65

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Solution

The fourth proportional to 4,531.26, 6,807.26 and 3,908.65 is: 5,871.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,531.26 : 6,807.26 = 3,908.65 : x
  2. Step 2: Convert to fraction form
    4,531.26/6,807.26 = 3,908.65/x
  3. Step 3: Cross multiply
    4,531.26x = 6,807.26 × 3,908.65
  4. Step 4: Simplify right side
    4,531.26x = 26,607,160.24
  5. Step 5: Solve for x
    x = 26,607,160.24/4,531.26
  6. Step 6: Final answer
    x = 5,871.91

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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.