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Finding the Fourth Proportional to 5,639.98, 8,459.97 and 1,744.30

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Solution

The fourth proportional to 5,639.98, 8,459.97 and 1,744.30 is: 2,616.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.98 : 8,459.97 = 1,744.30 : x
  2. Step 2: Convert to fraction form
    5,639.98/8,459.97 = 1,744.30/x
  3. Step 3: Cross multiply
    5,639.98x = 8,459.97 × 1,744.30
  4. Step 4: Simplify right side
    5,639.98x = 14,756,725.67
  5. Step 5: Solve for x
    x = 14,756,725.67/5,639.98
  6. Step 6: Final answer
    x = 2,616.45

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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.