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Finding the Fourth Proportional to 3,883.78, 5,825.40 and 1,418.14

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Solution

The fourth proportional to 3,883.78, 5,825.40 and 1,418.14 is: 2,127.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.78 : 5,825.40 = 1,418.14 : x
  2. Step 2: Convert to fraction form
    3,883.78/5,825.40 = 1,418.14/x
  3. Step 3: Cross multiply
    3,883.78x = 5,825.40 × 1,418.14
  4. Step 4: Simplify right side
    3,883.78x = 8,261,232.76
  5. Step 5: Solve for x
    x = 8,261,232.76/3,883.78
  6. Step 6: Final answer
    x = 2,127.11

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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.