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Finding the Fourth Proportional to 4,616.82, 6,368.56 and 2,727.77

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Solution

The fourth proportional to 4,616.82, 6,368.56 and 2,727.77 is: 3,762.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.82 : 6,368.56 = 2,727.77 : x
  2. Step 2: Convert to fraction form
    4,616.82/6,368.56 = 2,727.77/x
  3. Step 3: Cross multiply
    4,616.82x = 6,368.56 × 2,727.77
  4. Step 4: Simplify right side
    4,616.82x = 17,371,928.25
  5. Step 5: Solve for x
    x = 17,371,928.25/4,616.82
  6. Step 6: Final answer
    x = 3,762.75

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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.