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Finding the Fourth Proportional to 3,965.52, 5,974.66 and 3,590.52

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Solution

The fourth proportional to 3,965.52, 5,974.66 and 3,590.52 is: 5,409.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.52 : 5,974.66 = 3,590.52 : x
  2. Step 2: Convert to fraction form
    3,965.52/5,974.66 = 3,590.52/x
  3. Step 3: Cross multiply
    3,965.52x = 5,974.66 × 3,590.52
  4. Step 4: Simplify right side
    3,965.52x = 21,452,136.22
  5. Step 5: Solve for x
    x = 21,452,136.22/3,965.52
  6. Step 6: Final answer
    x = 5,409.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.