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Finding the Fourth Proportional to 3,606.10, 5,408.24 and 1,384.47

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Solution

The fourth proportional to 3,606.10, 5,408.24 and 1,384.47 is: 2,076.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.10 : 5,408.24 = 1,384.47 : x
  2. Step 2: Convert to fraction form
    3,606.10/5,408.24 = 1,384.47/x
  3. Step 3: Cross multiply
    3,606.10x = 5,408.24 × 1,384.47
  4. Step 4: Simplify right side
    3,606.10x = 7,487,539.11
  5. Step 5: Solve for x
    x = 7,487,539.11/3,606.10
  6. Step 6: Final answer
    x = 2,076.36

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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.