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Finding the Fourth Proportional to 3,283.42, 4,527.43 and 2,684.05

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Solution

The fourth proportional to 3,283.42, 4,527.43 and 2,684.05 is: 3,700.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.42 : 4,527.43 = 2,684.05 : x
  2. Step 2: Convert to fraction form
    3,283.42/4,527.43 = 2,684.05/x
  3. Step 3: Cross multiply
    3,283.42x = 4,527.43 × 2,684.05
  4. Step 4: Simplify right side
    3,283.42x = 12,151,848.49
  5. Step 5: Solve for x
    x = 12,151,848.49/3,283.42
  6. Step 6: Final answer
    x = 3,700.97

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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.