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Finding the Fourth Proportional to 3,897.44, 5,379.16 and 2,325.64

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Solution

The fourth proportional to 3,897.44, 5,379.16 and 2,325.64 is: 3,209.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.44 : 5,379.16 = 2,325.64 : x
  2. Step 2: Convert to fraction form
    3,897.44/5,379.16 = 2,325.64/x
  3. Step 3: Cross multiply
    3,897.44x = 5,379.16 × 2,325.64
  4. Step 4: Simplify right side
    3,897.44x = 12,509,989.66
  5. Step 5: Solve for x
    x = 12,509,989.66/3,897.44
  6. Step 6: Final answer
    x = 3,209.80

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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.