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Finding the Fourth Proportional to 5,639.83, 8,461.71 and 1,744.22

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Solution

The fourth proportional to 5,639.83, 8,461.71 and 1,744.22 is: 2,616.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.83 : 8,461.71 = 1,744.22 : x
  2. Step 2: Convert to fraction form
    5,639.83/8,461.71 = 1,744.22/x
  3. Step 3: Cross multiply
    5,639.83x = 8,461.71 × 1,744.22
  4. Step 4: Simplify right side
    5,639.83x = 14,759,104.97
  5. Step 5: Solve for x
    x = 14,759,104.97/5,639.83
  6. Step 6: Final answer
    x = 2,616.94

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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.