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Finding the Fourth Proportional to 3,402.84, 4,685.10 and 2,812.44

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Solution

The fourth proportional to 3,402.84, 4,685.10 and 2,812.44 is: 3,872.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.84 : 4,685.10 = 2,812.44 : x
  2. Step 2: Convert to fraction form
    3,402.84/4,685.10 = 2,812.44/x
  3. Step 3: Cross multiply
    3,402.84x = 4,685.10 × 2,812.44
  4. Step 4: Simplify right side
    3,402.84x = 13,176,562.64
  5. Step 5: Solve for x
    x = 13,176,562.64/3,402.84
  6. Step 6: Final answer
    x = 3,872.23

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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.