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Finding the Fourth Proportional to 3,988.68, 5,984.22 and 1,523.56

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Solution

The fourth proportional to 3,988.68, 5,984.22 and 1,523.56 is: 2,285.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,988.68 : 5,984.22 = 1,523.56 : x
  2. Step 2: Convert to fraction form
    3,988.68/5,984.22 = 1,523.56/x
  3. Step 3: Cross multiply
    3,988.68x = 5,984.22 × 1,523.56
  4. Step 4: Simplify right side
    3,988.68x = 9,117,318.22
  5. Step 5: Solve for x
    x = 9,117,318.22/3,988.68
  6. Step 6: Final answer
    x = 2,285.80

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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.