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Finding the Fourth Proportional to 4,116.62, 5,680.88 and 2,253.62

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Solution

The fourth proportional to 4,116.62, 5,680.88 and 2,253.62 is: 3,109.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116.62 : 5,680.88 = 2,253.62 : x
  2. Step 2: Convert to fraction form
    4,116.62/5,680.88 = 2,253.62/x
  3. Step 3: Cross multiply
    4,116.62x = 5,680.88 × 2,253.62
  4. Step 4: Simplify right side
    4,116.62x = 12,802,544.79
  5. Step 5: Solve for x
    x = 12,802,544.79/4,116.62
  6. Step 6: Final answer
    x = 3,109.97

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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.