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Finding the Fourth Proportional to 3,930.98, 5,878.24 and 3,043.42

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Solution

The fourth proportional to 3,930.98, 5,878.24 and 3,043.42 is: 4,551.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.98 : 5,878.24 = 3,043.42 : x
  2. Step 2: Convert to fraction form
    3,930.98/5,878.24 = 3,043.42/x
  3. Step 3: Cross multiply
    3,930.98x = 5,878.24 × 3,043.42
  4. Step 4: Simplify right side
    3,930.98x = 17,889,953.18
  5. Step 5: Solve for x
    x = 17,889,953.18/3,930.98
  6. Step 6: Final answer
    x = 4,551.02

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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.