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Finding the Fourth Proportional to 5,724.21, 7,897.94 and 3,365.91

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Solution

The fourth proportional to 5,724.21, 7,897.94 and 3,365.91 is: 4,644.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.21 : 7,897.94 = 3,365.91 : x
  2. Step 2: Convert to fraction form
    5,724.21/7,897.94 = 3,365.91/x
  3. Step 3: Cross multiply
    5,724.21x = 7,897.94 × 3,365.91
  4. Step 4: Simplify right side
    5,724.21x = 26,583,738.40
  5. Step 5: Solve for x
    x = 26,583,738.40/5,724.21
  6. Step 6: Final answer
    x = 4,644.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.