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Finding the Fourth Proportional to 3,752.82, 5,627.88 and 1,286.98

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Solution

The fourth proportional to 3,752.82, 5,627.88 and 1,286.98 is: 1,930.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.82 : 5,627.88 = 1,286.98 : x
  2. Step 2: Convert to fraction form
    3,752.82/5,627.88 = 1,286.98/x
  3. Step 3: Cross multiply
    3,752.82x = 5,627.88 × 1,286.98
  4. Step 4: Simplify right side
    3,752.82x = 7,242,954.93
  5. Step 5: Solve for x
    x = 7,242,954.93/3,752.82
  6. Step 6: Final answer
    x = 1,930.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.