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Finding the Fourth Proportional to 3,755.20, 5,632.78 and 1,290

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Solution

The fourth proportional to 3,755.20, 5,632.78 and 1,290 is: 1,934.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.20 : 5,632.78 = 1,290 : x
  2. Step 2: Convert to fraction form
    3,755.20/5,632.78 = 1,290/x
  3. Step 3: Cross multiply
    3,755.20x = 5,632.78 × 1,290
  4. Step 4: Simplify right side
    3,755.20x = 7,266,286.20
  5. Step 5: Solve for x
    x = 7,266,286.20/3,755.20
  6. Step 6: Final answer
    x = 1,934.99

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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.