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Finding the Fourth Proportional to 3,756.13, 5,634.16 and 2,640.94

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Solution

The fourth proportional to 3,756.13, 5,634.16 and 2,640.94 is: 3,961.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.13 : 5,634.16 = 2,640.94 : x
  2. Step 2: Convert to fraction form
    3,756.13/5,634.16 = 2,640.94/x
  3. Step 3: Cross multiply
    3,756.13x = 5,634.16 × 2,640.94
  4. Step 4: Simplify right side
    3,756.13x = 14,879,489.51
  5. Step 5: Solve for x
    x = 14,879,489.51/3,756.13
  6. Step 6: Final answer
    x = 3,961.39

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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.