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Finding the Fourth Proportional to 3,729.09, 5,593.64 and 955.76

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Solution

The fourth proportional to 3,729.09, 5,593.64 and 955.76 is: 1,433.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.09 : 5,593.64 = 955.76 : x
  2. Step 2: Convert to fraction form
    3,729.09/5,593.64 = 955.76/x
  3. Step 3: Cross multiply
    3,729.09x = 5,593.64 × 955.76
  4. Step 4: Simplify right side
    3,729.09x = 5,346,186.57
  5. Step 5: Solve for x
    x = 5,346,186.57/3,729.09
  6. Step 6: Final answer
    x = 1,433.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.