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Finding the Fourth Proportional to 4,864.62, 7,295.67 and 1,744.27

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Solution

The fourth proportional to 4,864.62, 7,295.67 and 1,744.27 is: 2,615.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,864.62 : 7,295.67 = 1,744.27 : x
  2. Step 2: Convert to fraction form
    4,864.62/7,295.67 = 1,744.27/x
  3. Step 3: Cross multiply
    4,864.62x = 7,295.67 × 1,744.27
  4. Step 4: Simplify right side
    4,864.62x = 12,725,600.07
  5. Step 5: Solve for x
    x = 12,725,600.07/4,864.62
  6. Step 6: Final answer
    x = 2,615.95

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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.