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Finding the Fourth Proportional to 4,463.82, 6,662.50 and 3,868.18

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Solution

The fourth proportional to 4,463.82, 6,662.50 and 3,868.18 is: 5,773.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,463.82 : 6,662.50 = 3,868.18 : x
  2. Step 2: Convert to fraction form
    4,463.82/6,662.50 = 3,868.18/x
  3. Step 3: Cross multiply
    4,463.82x = 6,662.50 × 3,868.18
  4. Step 4: Simplify right side
    4,463.82x = 25,771,739.58
  5. Step 5: Solve for x
    x = 25,771,739.58/4,463.82
  6. Step 6: Final answer
    x = 5,773.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.