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Finding the Fourth Proportional to 4,839.48, 7,262.45 and 1,761.48

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Solution

The fourth proportional to 4,839.48, 7,262.45 and 1,761.48 is: 2,643.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,839.48 : 7,262.45 = 1,761.48 : x
  2. Step 2: Convert to fraction form
    4,839.48/7,262.45 = 1,761.48/x
  3. Step 3: Cross multiply
    4,839.48x = 7,262.45 × 1,761.48
  4. Step 4: Simplify right side
    4,839.48x = 12,792,660.43
  5. Step 5: Solve for x
    x = 12,792,660.43/4,839.48
  6. Step 6: Final answer
    x = 2,643.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.