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Finding the Fourth Proportional to 3,462.98, 4,771.78 and 2,674.58

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Solution

The fourth proportional to 3,462.98, 4,771.78 and 2,674.58 is: 3,685.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.98 : 4,771.78 = 2,674.58 : x
  2. Step 2: Convert to fraction form
    3,462.98/4,771.78 = 2,674.58/x
  3. Step 3: Cross multiply
    3,462.98x = 4,771.78 × 2,674.58
  4. Step 4: Simplify right side
    3,462.98x = 12,762,476.81
  5. Step 5: Solve for x
    x = 12,762,476.81/3,462.98
  6. Step 6: Final answer
    x = 3,685.41

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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.