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Finding the Fourth Proportional to 5,494.30, 8,241.94 and 1,545.60

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Solution

The fourth proportional to 5,494.30, 8,241.94 and 1,545.60 is: 2,318.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.30 : 8,241.94 = 1,545.60 : x
  2. Step 2: Convert to fraction form
    5,494.30/8,241.94 = 1,545.60/x
  3. Step 3: Cross multiply
    5,494.30x = 8,241.94 × 1,545.60
  4. Step 4: Simplify right side
    5,494.30x = 12,738,742.46
  5. Step 5: Solve for x
    x = 12,738,742.46/5,494.30
  6. Step 6: Final answer
    x = 2,318.54

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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.