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Finding the Fourth Proportional to 4,674.65, 6,451.14 and 2,685.60

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Solution

The fourth proportional to 4,674.65, 6,451.14 and 2,685.60 is: 3,706.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.65 : 6,451.14 = 2,685.60 : x
  2. Step 2: Convert to fraction form
    4,674.65/6,451.14 = 2,685.60/x
  3. Step 3: Cross multiply
    4,674.65x = 6,451.14 × 2,685.60
  4. Step 4: Simplify right side
    4,674.65x = 17,325,181.58
  5. Step 5: Solve for x
    x = 17,325,181.58/4,674.65
  6. Step 6: Final answer
    x = 3,706.20

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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.