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Finding the Fourth Proportional to 3,964.42, 5,473.53 and 3,716.62

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Solution

The fourth proportional to 3,964.42, 5,473.53 and 3,716.62 is: 5,131.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.42 : 5,473.53 = 3,716.62 : x
  2. Step 2: Convert to fraction form
    3,964.42/5,473.53 = 3,716.62/x
  3. Step 3: Cross multiply
    3,964.42x = 5,473.53 × 3,716.62
  4. Step 4: Simplify right side
    3,964.42x = 20,343,031.07
  5. Step 5: Solve for x
    x = 20,343,031.07/3,964.42
  6. Step 6: Final answer
    x = 5,131.40

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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.