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Finding the Fourth Proportional to 3,887.12, 5,853.92 and 3,405.98

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Solution

The fourth proportional to 3,887.12, 5,853.92 and 3,405.98 is: 5,129.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.12 : 5,853.92 = 3,405.98 : x
  2. Step 2: Convert to fraction form
    3,887.12/5,853.92 = 3,405.98/x
  3. Step 3: Cross multiply
    3,887.12x = 5,853.92 × 3,405.98
  4. Step 4: Simplify right side
    3,887.12x = 19,938,334.44
  5. Step 5: Solve for x
    x = 19,938,334.44/3,887.12
  6. Step 6: Final answer
    x = 5,129.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.