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Finding the Fourth Proportional to 3,606.14, 5,409.26 and 1,415.90

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Solution

The fourth proportional to 3,606.14, 5,409.26 and 1,415.90 is: 2,123.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.14 : 5,409.26 = 1,415.90 : x
  2. Step 2: Convert to fraction form
    3,606.14/5,409.26 = 1,415.90/x
  3. Step 3: Cross multiply
    3,606.14x = 5,409.26 × 1,415.90
  4. Step 4: Simplify right side
    3,606.14x = 7,658,964.15
  5. Step 5: Solve for x
    x = 7,658,964.15/3,606.14
  6. Step 6: Final answer
    x = 2,123.87

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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.