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Finding the Fourth Proportional to 4,674.74, 6,451.34 and 2,685.92

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Solution

The fourth proportional to 4,674.74, 6,451.34 and 2,685.92 is: 3,706.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.74 : 6,451.34 = 2,685.92 : x
  2. Step 2: Convert to fraction form
    4,674.74/6,451.34 = 2,685.92/x
  3. Step 3: Cross multiply
    4,674.74x = 6,451.34 × 2,685.92
  4. Step 4: Simplify right side
    4,674.74x = 17,327,737.45
  5. Step 5: Solve for x
    x = 17,327,737.45/4,674.74
  6. Step 6: Final answer
    x = 3,706.68

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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.