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Finding the Fourth Proportional to 3,522.71, 4,846.77 and 2,678.49

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Solution

The fourth proportional to 3,522.71, 4,846.77 and 2,678.49 is: 3,685.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.71 : 4,846.77 = 2,678.49 : x
  2. Step 2: Convert to fraction form
    3,522.71/4,846.77 = 2,678.49/x
  3. Step 3: Cross multiply
    3,522.71x = 4,846.77 × 2,678.49
  4. Step 4: Simplify right side
    3,522.71x = 12,982,024.98
  5. Step 5: Solve for x
    x = 12,982,024.98/3,522.71
  6. Step 6: Final answer
    x = 3,685.24

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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.