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Finding the Fourth Proportional to 3,618.96, 5,429.31 and 1,427.77

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Solution

The fourth proportional to 3,618.96, 5,429.31 and 1,427.77 is: 2,142.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,618.96 : 5,429.31 = 1,427.77 : x
  2. Step 2: Convert to fraction form
    3,618.96/5,429.31 = 1,427.77/x
  3. Step 3: Cross multiply
    3,618.96x = 5,429.31 × 1,427.77
  4. Step 4: Simplify right side
    3,618.96x = 7,751,805.94
  5. Step 5: Solve for x
    x = 7,751,805.94/3,618.96
  6. Step 6: Final answer
    x = 2,142.00

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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.