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Finding the Fourth Proportional to 3,975.26, 5,962.97 and 1,053.64

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Solution

The fourth proportional to 3,975.26, 5,962.97 and 1,053.64 is: 1,580.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.26 : 5,962.97 = 1,053.64 : x
  2. Step 2: Convert to fraction form
    3,975.26/5,962.97 = 1,053.64/x
  3. Step 3: Cross multiply
    3,975.26x = 5,962.97 × 1,053.64
  4. Step 4: Simplify right side
    3,975.26x = 6,282,833.80
  5. Step 5: Solve for x
    x = 6,282,833.80/3,975.26
  6. Step 6: Final answer
    x = 1,580.49

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1.5x scale

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.