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Finding the Fourth Proportional to 4,320.74, 6,468.66 and 3,274.63

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Solution

The fourth proportional to 4,320.74, 6,468.66 and 3,274.63 is: 4,902.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,320.74 : 6,468.66 = 3,274.63 : x
  2. Step 2: Convert to fraction form
    4,320.74/6,468.66 = 3,274.63/x
  3. Step 3: Cross multiply
    4,320.74x = 6,468.66 × 3,274.63
  4. Step 4: Simplify right side
    4,320.74x = 21,182,451.92
  5. Step 5: Solve for x
    x = 21,182,451.92/4,320.74
  6. Step 6: Final answer
    x = 4,902.50

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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.