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Finding the Fourth Proportional to 4,116.69, 5,680.98 and 2,228.23

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Solution

The fourth proportional to 4,116.69, 5,680.98 and 2,228.23 is: 3,074.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116.69 : 5,680.98 = 2,228.23 : x
  2. Step 2: Convert to fraction form
    4,116.69/5,680.98 = 2,228.23/x
  3. Step 3: Cross multiply
    4,116.69x = 5,680.98 × 2,228.23
  4. Step 4: Simplify right side
    4,116.69x = 12,658,530.07
  5. Step 5: Solve for x
    x = 12,658,530.07/4,116.69
  6. Step 6: Final answer
    x = 3,074.93

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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.