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Finding the Fourth Proportional to 3,635.58, 5,456.09 and 1,414.76

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Solution

The fourth proportional to 3,635.58, 5,456.09 and 1,414.76 is: 2,123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.58 : 5,456.09 = 1,414.76 : x
  2. Step 2: Convert to fraction form
    3,635.58/5,456.09 = 1,414.76/x
  3. Step 3: Cross multiply
    3,635.58x = 5,456.09 × 1,414.76
  4. Step 4: Simplify right side
    3,635.58x = 7,719,050.81
  5. Step 5: Solve for x
    x = 7,719,050.81/3,635.58
  6. Step 6: Final answer
    x = 2,123.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.