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Finding the Fourth Proportional to 3,606.59, 5,408.98 and 1,414.13

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Solution

The fourth proportional to 3,606.59, 5,408.98 and 1,414.13 is: 2,120.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.59 : 5,408.98 = 1,414.13 : x
  2. Step 2: Convert to fraction form
    3,606.59/5,408.98 = 1,414.13/x
  3. Step 3: Cross multiply
    3,606.59x = 5,408.98 × 1,414.13
  4. Step 4: Simplify right side
    3,606.59x = 7,648,970.31
  5. Step 5: Solve for x
    x = 7,648,970.31/3,606.59
  6. Step 6: Final answer
    x = 2,120.83

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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.