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Finding the Fourth Proportional to 3,933.50, 5,900.24 and 1,160.20

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Solution

The fourth proportional to 3,933.50, 5,900.24 and 1,160.20 is: 1,740.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,933.50 : 5,900.24 = 1,160.20 : x
  2. Step 2: Convert to fraction form
    3,933.50/5,900.24 = 1,160.20/x
  3. Step 3: Cross multiply
    3,933.50x = 5,900.24 × 1,160.20
  4. Step 4: Simplify right side
    3,933.50x = 6,845,437.90
  5. Step 5: Solve for x
    x = 6,845,437.90/3,933.50
  6. Step 6: Final answer
    x = 1,740.29

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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.