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Finding the Fourth Proportional to 3,617.36, 5,429.12 and 1,427.64

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Solution

The fourth proportional to 3,617.36, 5,429.12 and 1,427.64 is: 2,142.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.36 : 5,429.12 = 1,427.64 : x
  2. Step 2: Convert to fraction form
    3,617.36/5,429.12 = 1,427.64/x
  3. Step 3: Cross multiply
    3,617.36x = 5,429.12 × 1,427.64
  4. Step 4: Simplify right side
    3,617.36x = 7,750,828.88
  5. Step 5: Solve for x
    x = 7,750,828.88/3,617.36
  6. Step 6: Final answer
    x = 2,142.68

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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.