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Finding the Fourth Proportional to 5,394.60, 7,443 and 3,716.46

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Solution

The fourth proportional to 5,394.60, 7,443 and 3,716.46 is: 5,127.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,394.60 : 7,443 = 3,716.46 : x
  2. Step 2: Convert to fraction form
    5,394.60/7,443 = 3,716.46/x
  3. Step 3: Cross multiply
    5,394.60x = 7,443 × 3,716.46
  4. Step 4: Simplify right side
    5,394.60x = 27,661,611.78
  5. Step 5: Solve for x
    x = 27,661,611.78/5,394.60
  6. Step 6: Final answer
    x = 5,127.65

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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.