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Finding the Fourth Proportional to 3,682.47, 5,526 and 2,125.53

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Solution

The fourth proportional to 3,682.47, 5,526 and 2,125.53 is: 3,189.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.47 : 5,526 = 2,125.53 : x
  2. Step 2: Convert to fraction form
    3,682.47/5,526 = 2,125.53/x
  3. Step 3: Cross multiply
    3,682.47x = 5,526 × 2,125.53
  4. Step 4: Simplify right side
    3,682.47x = 11,745,678.78
  5. Step 5: Solve for x
    x = 11,745,678.78/3,682.47
  6. Step 6: Final answer
    x = 3,189.62

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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.