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Finding the Fourth Proportional to 3,975.71, 5,964.13 and 1,202.06

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Solution

The fourth proportional to 3,975.71, 5,964.13 and 1,202.06 is: 1,803.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.71 : 5,964.13 = 1,202.06 : x
  2. Step 2: Convert to fraction form
    3,975.71/5,964.13 = 1,202.06/x
  3. Step 3: Cross multiply
    3,975.71x = 5,964.13 × 1,202.06
  4. Step 4: Simplify right side
    3,975.71x = 7,169,254.01
  5. Step 5: Solve for x
    x = 7,169,254.01/3,975.71
  6. Step 6: Final answer
    x = 1,803.27

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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.