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Finding the Fourth Proportional to 3,975.26, 5,962.02 and 1,509.21

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Solution

The fourth proportional to 3,975.26, 5,962.02 and 1,509.21 is: 2,263.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.26 : 5,962.02 = 1,509.21 : x
  2. Step 2: Convert to fraction form
    3,975.26/5,962.02 = 1,509.21/x
  3. Step 3: Cross multiply
    3,975.26x = 5,962.02 × 1,509.21
  4. Step 4: Simplify right side
    3,975.26x = 8,997,940.20
  5. Step 5: Solve for x
    x = 8,997,940.20/3,975.26
  6. Step 6: Final answer
    x = 2,263.49

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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.