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Finding the Fourth Proportional to 3,755.82, 5,632.38 and 1,290

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Solution

The fourth proportional to 3,755.82, 5,632.38 and 1,290 is: 1,934.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.82 : 5,632.38 = 1,290 : x
  2. Step 2: Convert to fraction form
    3,755.82/5,632.38 = 1,290/x
  3. Step 3: Cross multiply
    3,755.82x = 5,632.38 × 1,290
  4. Step 4: Simplify right side
    3,755.82x = 7,265,770.20
  5. Step 5: Solve for x
    x = 7,265,770.20/3,755.82
  6. Step 6: Final answer
    x = 1,934.54

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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.