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Finding the Fourth Proportional to 3,652.90, 5,470.69 and 2,093.75

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Solution

The fourth proportional to 3,652.90, 5,470.69 and 2,093.75 is: 3,135.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.90 : 5,470.69 = 2,093.75 : x
  2. Step 2: Convert to fraction form
    3,652.90/5,470.69 = 2,093.75/x
  3. Step 3: Cross multiply
    3,652.90x = 5,470.69 × 2,093.75
  4. Step 4: Simplify right side
    3,652.90x = 11,454,249.04
  5. Step 5: Solve for x
    x = 11,454,249.04/3,652.90
  6. Step 6: Final answer
    x = 3,135.66

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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.