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Finding the Fourth Proportional to 3,578.94, 4,935.70 and 2,983.42

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Solution

The fourth proportional to 3,578.94, 4,935.70 and 2,983.42 is: 4,114.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.94 : 4,935.70 = 2,983.42 : x
  2. Step 2: Convert to fraction form
    3,578.94/4,935.70 = 2,983.42/x
  3. Step 3: Cross multiply
    3,578.94x = 4,935.70 × 2,983.42
  4. Step 4: Simplify right side
    3,578.94x = 14,725,266.09
  5. Step 5: Solve for x
    x = 14,725,266.09/3,578.94
  6. Step 6: Final answer
    x = 4,114.42

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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.