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Finding the Fourth Proportional to 5,494.43, 7,582.14 and 3,104.49

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Solution

The fourth proportional to 5,494.43, 7,582.14 and 3,104.49 is: 4,284.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.43 : 7,582.14 = 3,104.49 : x
  2. Step 2: Convert to fraction form
    5,494.43/7,582.14 = 3,104.49/x
  3. Step 3: Cross multiply
    5,494.43x = 7,582.14 × 3,104.49
  4. Step 4: Simplify right side
    5,494.43x = 23,538,706.24
  5. Step 5: Solve for x
    x = 23,538,706.24/5,494.43
  6. Step 6: Final answer
    x = 4,284.10

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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.