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Finding the Fourth Proportional to 3,682.75, 5,526.15 and 3,655.21

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Solution

The fourth proportional to 3,682.75, 5,526.15 and 3,655.21 is: 5,484.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.75 : 5,526.15 = 3,655.21 : x
  2. Step 2: Convert to fraction form
    3,682.75/5,526.15 = 3,655.21/x
  3. Step 3: Cross multiply
    3,682.75x = 5,526.15 × 3,655.21
  4. Step 4: Simplify right side
    3,682.75x = 20,199,238.74
  5. Step 5: Solve for x
    x = 20,199,238.74/3,682.75
  6. Step 6: Final answer
    x = 5,484.82

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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.