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Finding the Fourth Proportional to 3,262.76, 4,498.50 and 2,724.62

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Solution

The fourth proportional to 3,262.76, 4,498.50 and 2,724.62 is: 3,756.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.76 : 4,498.50 = 2,724.62 : x
  2. Step 2: Convert to fraction form
    3,262.76/4,498.50 = 2,724.62/x
  3. Step 3: Cross multiply
    3,262.76x = 4,498.50 × 2,724.62
  4. Step 4: Simplify right side
    3,262.76x = 12,256,703.07
  5. Step 5: Solve for x
    x = 12,256,703.07/3,262.76
  6. Step 6: Final answer
    x = 3,756.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.