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Finding the Fourth Proportional to 4,452.16, 6,686.88 and 3,682.84

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Solution

The fourth proportional to 4,452.16, 6,686.88 and 3,682.84 is: 5,531.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,452.16 : 6,686.88 = 3,682.84 : x
  2. Step 2: Convert to fraction form
    4,452.16/6,686.88 = 3,682.84/x
  3. Step 3: Cross multiply
    4,452.16x = 6,686.88 × 3,682.84
  4. Step 4: Simplify right side
    4,452.16x = 24,626,709.14
  5. Step 5: Solve for x
    x = 24,626,709.14/4,452.16
  6. Step 6: Final answer
    x = 5,531.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.