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Finding the Fourth Proportional to 3,691.93, 5,528.90 and 2,441.75

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Solution

The fourth proportional to 3,691.93, 5,528.90 and 2,441.75 is: 3,656.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.93 : 5,528.90 = 2,441.75 : x
  2. Step 2: Convert to fraction form
    3,691.93/5,528.90 = 2,441.75/x
  3. Step 3: Cross multiply
    3,691.93x = 5,528.90 × 2,441.75
  4. Step 4: Simplify right side
    3,691.93x = 13,500,170.03
  5. Step 5: Solve for x
    x = 13,500,170.03/3,691.93
  6. Step 6: Final answer
    x = 3,656.67

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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.