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Finding the Fourth Proportional to 5,677.43, 8,513.40 and 1,979.57

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Solution

The fourth proportional to 5,677.43, 8,513.40 and 1,979.57 is: 2,968.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.43 : 8,513.40 = 1,979.57 : x
  2. Step 2: Convert to fraction form
    5,677.43/8,513.40 = 1,979.57/x
  3. Step 3: Cross multiply
    5,677.43x = 8,513.40 × 1,979.57
  4. Step 4: Simplify right side
    5,677.43x = 16,852,899.94
  5. Step 5: Solve for x
    x = 16,852,899.94/5,677.43
  6. Step 6: Final answer
    x = 2,968.41

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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.