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Finding the Fourth Proportional to 3,632.26, 5,011.74 and 2,375.16

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Solution

The fourth proportional to 3,632.26, 5,011.74 and 2,375.16 is: 3,277.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.26 : 5,011.74 = 2,375.16 : x
  2. Step 2: Convert to fraction form
    3,632.26/5,011.74 = 2,375.16/x
  3. Step 3: Cross multiply
    3,632.26x = 5,011.74 × 2,375.16
  4. Step 4: Simplify right side
    3,632.26x = 11,903,684.38
  5. Step 5: Solve for x
    x = 11,903,684.38/3,632.26
  6. Step 6: Final answer
    x = 3,277.21

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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.