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Finding the Fourth Proportional to 3,897.33, 5,378.43 and 2,405.31

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Solution

The fourth proportional to 3,897.33, 5,378.43 and 2,405.31 is: 3,319.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.33 : 5,378.43 = 2,405.31 : x
  2. Step 2: Convert to fraction form
    3,897.33/5,378.43 = 2,405.31/x
  3. Step 3: Cross multiply
    3,897.33x = 5,378.43 × 2,405.31
  4. Step 4: Simplify right side
    3,897.33x = 12,936,791.46
  5. Step 5: Solve for x
    x = 12,936,791.46/3,897.33
  6. Step 6: Final answer
    x = 3,319.40

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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.