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Finding the Fourth Proportional to 5,743.61, 8,617.55 and 3,912

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Solution

The fourth proportional to 5,743.61, 8,617.55 and 3,912 is: 5,869.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.61 : 8,617.55 = 3,912 : x
  2. Step 2: Convert to fraction form
    5,743.61/8,617.55 = 3,912/x
  3. Step 3: Cross multiply
    5,743.61x = 8,617.55 × 3,912
  4. Step 4: Simplify right side
    5,743.61x = 33,711,855.60
  5. Step 5: Solve for x
    x = 33,711,855.60/5,743.61
  6. Step 6: Final answer
    x = 5,869.45

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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.