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Finding the Fourth Proportional to 3,407.59, 4,699.78 and 2,211.27

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Solution

The fourth proportional to 3,407.59, 4,699.78 and 2,211.27 is: 3,049.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.59 : 4,699.78 = 2,211.27 : x
  2. Step 2: Convert to fraction form
    3,407.59/4,699.78 = 2,211.27/x
  3. Step 3: Cross multiply
    3,407.59x = 4,699.78 × 2,211.27
  4. Step 4: Simplify right side
    3,407.59x = 10,392,471.46
  5. Step 5: Solve for x
    x = 10,392,471.46/3,407.59
  6. Step 6: Final answer
    x = 3,049.80

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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.