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Finding the Fourth Proportional to 5,662.91, 8,485.71 and 2,374.21

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Solution

The fourth proportional to 5,662.91, 8,485.71 and 2,374.21 is: 3,557.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.91 : 8,485.71 = 2,374.21 : x
  2. Step 2: Convert to fraction form
    5,662.91/8,485.71 = 2,374.21/x
  3. Step 3: Cross multiply
    5,662.91x = 8,485.71 × 2,374.21
  4. Step 4: Simplify right side
    5,662.91x = 20,146,857.54
  5. Step 5: Solve for x
    x = 20,146,857.54/5,662.91
  6. Step 6: Final answer
    x = 3,557.69

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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.