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Finding the Fourth Proportional to 5,432, 7,495.68 and 3,839.26

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Solution

The fourth proportional to 5,432, 7,495.68 and 3,839.26 is: 5,297.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,432 : 7,495.68 = 3,839.26 : x
  2. Step 2: Convert to fraction form
    5,432/7,495.68 = 3,839.26/x
  3. Step 3: Cross multiply
    5,432x = 7,495.68 × 3,839.26
  4. Step 4: Simplify right side
    5,432x = 28,777,864.40
  5. Step 5: Solve for x
    x = 28,777,864.40/5,432
  6. Step 6: Final answer
    x = 5,297.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.