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Finding the Fourth Proportional to 3,933.90, 5,900.91 and 1,160.64

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Solution

The fourth proportional to 3,933.90, 5,900.91 and 1,160.64 is: 1,740.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,933.90 : 5,900.91 = 1,160.64 : x
  2. Step 2: Convert to fraction form
    3,933.90/5,900.91 = 1,160.64/x
  3. Step 3: Cross multiply
    3,933.90x = 5,900.91 × 1,160.64
  4. Step 4: Simplify right side
    3,933.90x = 6,848,832.18
  5. Step 5: Solve for x
    x = 6,848,832.18/3,933.90
  6. Step 6: Final answer
    x = 1,740.98

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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.