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Finding the Fourth Proportional to 5,182.34, 7,770.24 and 3,448.94

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Solution

The fourth proportional to 5,182.34, 7,770.24 and 3,448.94 is: 5,171.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.34 : 7,770.24 = 3,448.94 : x
  2. Step 2: Convert to fraction form
    5,182.34/7,770.24 = 3,448.94/x
  3. Step 3: Cross multiply
    5,182.34x = 7,770.24 × 3,448.94
  4. Step 4: Simplify right side
    5,182.34x = 26,799,052.69
  5. Step 5: Solve for x
    x = 26,799,052.69/5,182.34
  6. Step 6: Final answer
    x = 5,171.23

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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.