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Finding the Fourth Proportional to 5,512.82, 7,585.46 and 5,381.60

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Solution

The fourth proportional to 5,512.82, 7,585.46 and 5,381.60 is: 7,404.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,512.82 : 7,585.46 = 5,381.60 : x
  2. Step 2: Convert to fraction form
    5,512.82/7,585.46 = 5,381.60/x
  3. Step 3: Cross multiply
    5,512.82x = 7,585.46 × 5,381.60
  4. Step 4: Simplify right side
    5,512.82x = 40,821,911.54
  5. Step 5: Solve for x
    x = 40,821,911.54/5,512.82
  6. Step 6: Final answer
    x = 7,404.91

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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.