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Finding the Fourth Proportional to 5,639.94, 8,461.26 and 1,744.31

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Solution

The fourth proportional to 5,639.94, 8,461.26 and 1,744.31 is: 2,616.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.94 : 8,461.26 = 1,744.31 : x
  2. Step 2: Convert to fraction form
    5,639.94/8,461.26 = 1,744.31/x
  3. Step 3: Cross multiply
    5,639.94x = 8,461.26 × 1,744.31
  4. Step 4: Simplify right side
    5,639.94x = 14,759,081.58
  5. Step 5: Solve for x
    x = 14,759,081.58/5,639.94
  6. Step 6: Final answer
    x = 2,616.89

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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.