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Finding the Fourth Proportional to 3,729.12, 5,593.50 and 955.86

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Solution

The fourth proportional to 3,729.12, 5,593.50 and 955.86 is: 1,433.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.12 : 5,593.50 = 955.86 : x
  2. Step 2: Convert to fraction form
    3,729.12/5,593.50 = 955.86/x
  3. Step 3: Cross multiply
    3,729.12x = 5,593.50 × 955.86
  4. Step 4: Simplify right side
    3,729.12x = 5,346,602.91
  5. Step 5: Solve for x
    x = 5,346,602.91/3,729.12
  6. Step 6: Final answer
    x = 1,433.74

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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.