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Finding the Fourth Proportional to 3,975.99, 5,962.05 and 1,202.16

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Solution

The fourth proportional to 3,975.99, 5,962.05 and 1,202.16 is: 1,802.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.99 : 5,962.05 = 1,202.16 : x
  2. Step 2: Convert to fraction form
    3,975.99/5,962.05 = 1,202.16/x
  3. Step 3: Cross multiply
    3,975.99x = 5,962.05 × 1,202.16
  4. Step 4: Simplify right side
    3,975.99x = 7,167,338.03
  5. Step 5: Solve for x
    x = 7,167,338.03/3,975.99
  6. Step 6: Final answer
    x = 1,802.65

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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.