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Finding the Fourth Proportional to 3,729.06, 5,593.56 and 955.72

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Solution

The fourth proportional to 3,729.06, 5,593.56 and 955.72 is: 1,433.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.06 : 5,593.56 = 955.72 : x
  2. Step 2: Convert to fraction form
    3,729.06/5,593.56 = 955.72/x
  3. Step 3: Cross multiply
    3,729.06x = 5,593.56 × 955.72
  4. Step 4: Simplify right side
    3,729.06x = 5,345,877.16
  5. Step 5: Solve for x
    x = 5,345,877.16/3,729.06
  6. Step 6: Final answer
    x = 1,433.57

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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.