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Finding the Fourth Proportional to 3,596.45, 5,396.09 and 1,404.81

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Solution

The fourth proportional to 3,596.45, 5,396.09 and 1,404.81 is: 2,107.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.45 : 5,396.09 = 1,404.81 : x
  2. Step 2: Convert to fraction form
    3,596.45/5,396.09 = 1,404.81/x
  3. Step 3: Cross multiply
    3,596.45x = 5,396.09 × 1,404.81
  4. Step 4: Simplify right side
    3,596.45x = 7,580,474.17
  5. Step 5: Solve for x
    x = 7,580,474.17/3,596.45
  6. Step 6: Final answer
    x = 2,107.77

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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.