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Finding the Fourth Proportional to 3,729.72, 5,594.64 and 956.33

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Solution

The fourth proportional to 3,729.72, 5,594.64 and 956.33 is: 1,434.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.72 : 5,594.64 = 956.33 : x
  2. Step 2: Convert to fraction form
    3,729.72/5,594.64 = 956.33/x
  3. Step 3: Cross multiply
    3,729.72x = 5,594.64 × 956.33
  4. Step 4: Simplify right side
    3,729.72x = 5,350,322.07
  5. Step 5: Solve for x
    x = 5,350,322.07/3,729.72
  6. Step 6: Final answer
    x = 1,434.51

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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.