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Finding the Fourth Proportional to 3,941.64, 5,914.35 and 2,640.51

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Solution

The fourth proportional to 3,941.64, 5,914.35 and 2,640.51 is: 3,962.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,941.64 : 5,914.35 = 2,640.51 : x
  2. Step 2: Convert to fraction form
    3,941.64/5,914.35 = 2,640.51/x
  3. Step 3: Cross multiply
    3,941.64x = 5,914.35 × 2,640.51
  4. Step 4: Simplify right side
    3,941.64x = 15,616,900.32
  5. Step 5: Solve for x
    x = 15,616,900.32/3,941.64
  6. Step 6: Final answer
    x = 3,962.03

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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.