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Finding the Fourth Proportional to 4,616.28, 6,368.64 and 2,844.84

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Solution

The fourth proportional to 4,616.28, 6,368.64 and 2,844.84 is: 3,924.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.28 : 6,368.64 = 2,844.84 : x
  2. Step 2: Convert to fraction form
    4,616.28/6,368.64 = 2,844.84/x
  3. Step 3: Cross multiply
    4,616.28x = 6,368.64 × 2,844.84
  4. Step 4: Simplify right side
    4,616.28x = 18,117,761.82
  5. Step 5: Solve for x
    x = 18,117,761.82/4,616.28
  6. Step 6: Final answer
    x = 3,924.75

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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.