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Finding the Fourth Proportional to 3,941.64, 5,913.84 and 2,630.64

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Solution

The fourth proportional to 3,941.64, 5,913.84 and 2,630.64 is: 3,946.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,941.64 : 5,913.84 = 2,630.64 : x
  2. Step 2: Convert to fraction form
    3,941.64/5,913.84 = 2,630.64/x
  3. Step 3: Cross multiply
    3,941.64x = 5,913.84 × 2,630.64
  4. Step 4: Simplify right side
    3,941.64x = 15,557,184.06
  5. Step 5: Solve for x
    x = 15,557,184.06/3,941.64
  6. Step 6: Final answer
    x = 3,946.88

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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.