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Finding the Fourth Proportional to 3,844.96, 5,303.04 and 2,963.20

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Solution

The fourth proportional to 3,844.96, 5,303.04 and 2,963.20 is: 4,086.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.96 : 5,303.04 = 2,963.20 : x
  2. Step 2: Convert to fraction form
    3,844.96/5,303.04 = 2,963.20/x
  3. Step 3: Cross multiply
    3,844.96x = 5,303.04 × 2,963.20
  4. Step 4: Simplify right side
    3,844.96x = 15,713,968.13
  5. Step 5: Solve for x
    x = 15,713,968.13/3,844.96
  6. Step 6: Final answer
    x = 4,086.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.