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Finding the Fourth Proportional to 5,447.36, 7,508.22 and 4,170.80

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Solution

The fourth proportional to 5,447.36, 7,508.22 and 4,170.80 is: 5,748.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,447.36 : 7,508.22 = 4,170.80 : x
  2. Step 2: Convert to fraction form
    5,447.36/7,508.22 = 4,170.80/x
  3. Step 3: Cross multiply
    5,447.36x = 7,508.22 × 4,170.80
  4. Step 4: Simplify right side
    5,447.36x = 31,315,283.98
  5. Step 5: Solve for x
    x = 31,315,283.98/5,447.36
  6. Step 6: Final answer
    x = 5,748.71

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