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Finding the Fourth Proportional to 5,226.93, 7,840.40 and 1,331.64

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Solution

The fourth proportional to 5,226.93, 7,840.40 and 1,331.64 is: 1,997.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226.93 : 7,840.40 = 1,331.64 : x
  2. Step 2: Convert to fraction form
    5,226.93/7,840.40 = 1,331.64/x
  3. Step 3: Cross multiply
    5,226.93x = 7,840.40 × 1,331.64
  4. Step 4: Simplify right side
    5,226.93x = 10,440,583.60
  5. Step 5: Solve for x
    x = 10,440,583.60/5,226.93
  6. Step 6: Final answer
    x = 1,997.46

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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.